REVIEW
|
doi:10.20944/preprints202306.0511.v1
Subject:
Physical Sciences,
Atomic And Molecular Physics
Keywords:
symmetry; invariant vectors; Hermann-Bernoulli-Laplace-Runge-Lenz vector; Redmond invariant; dynamical symmetry; supergeneralized Runge-Lenz vector; Kustaanheimo-Stiefel transformation; charge-dyon system; MIC-Kepler problem
Online: 7 June 2023 (08:19:04 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0119.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
fuzzy sets; fuzzy differential equation; modified runge kutta method and runge kutta mersion method
Online: 18 December 2017 (10:23:51 CET)
ARTICLE
|
doi:10.20944/preprints202405.1602.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Bernoulli polynomials; shifted Chebyshev polynomials; Bernoulli collocation method (BCM); Improved Bernoulli collocation method (IBCM); Volterra integral equation s (VIEs)
Online: 24 May 2024 (08:38:41 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0266.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Laplace transform; Two-dimensional Laplace transform; Initial-conditions; Two-dimensional linear systems
Online: 12 July 2020 (15:46:45 CEST)
ARTICLE
|
doi:10.20944/preprints202305.1762.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Fractional Volterra integro-differential equation; Laplace fractional power series; Caputo fractional derivative, Laplace transform.
Online: 25 May 2023 (08:06:04 CEST)
ARTICLE
|
doi:10.20944/preprints202301.0225.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Gamma function; Zeta function; Bernoulli numbers
Online: 12 January 2023 (10:38:15 CET)
ARTICLE
|
doi:10.20944/preprints201807.0566.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-Bernoulli numbers; q-Bernoulli polynomials; Bernstein polynomials; q-Bernstein polynomials; p-adic integral on Zp
Online: 30 July 2018 (08:17:45 CEST)
ARTICLE
|
doi:10.20944/preprints202008.0057.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bernoulli polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Bernoulli polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 3 August 2020 (00:28:39 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-umbral calculus; apostol-bernoulli polynomials; modi.ed apostol type q-bernoulli polynomials; q-appell polynomials; generating functions
Online: 18 December 2017 (10:01:24 CET)
ARTICLE
|
doi:10.20944/preprints201610.0043.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; Frobenius-Euler polynomial
Online: 12 October 2016 (11:47:48 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1648.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of powers; arithmetic progression; bernoulli numbers
Online: 22 July 2024 (04:58:09 CEST)
ARTICLE
|
doi:10.20944/preprints201809.0155.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
the degenerate gamma function; the modified degenerategamma function; the degenerate Laplace Transformation; the modified degenerate Laplace Transformation
Online: 10 September 2018 (08:08:58 CEST)
ARTICLE
|
doi:10.20944/preprints201802.0145.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite-Kampé de Fériet polynomials; Hermite Bernoulli polynomials; poly Bernoulli polynomials; Stirling numbers of second kind; Polylogarithm functions.
Online: 22 February 2018 (15:28:12 CET)
ARTICLE
|
doi:10.20944/preprints202012.0614.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Gamma function, Sumudu transform, Laplace transform, convolution
Online: 24 December 2020 (09:45:36 CET)
ARTICLE
|
doi:10.20944/preprints202008.0296.v2
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
Prandtl boundary layer; Prandtl-Blasius equation; numerical solution; Runge-Kutta method; Maple
Online: 5 September 2020 (09:33:32 CEST)
ARTICLE
|
doi:10.20944/preprints202106.0165.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
generalized nonlinear constitutive law; steel frame; Timoshenko; Bernoulli
Online: 7 June 2021 (10:51:17 CEST)
ARTICLE
|
doi:10.20944/preprints202312.0531.v1
Subject:
Engineering,
Civil Engineering
Keywords:
Soil hydraulics; FEM; Laplace equation; steady-state regime.
Online: 7 December 2023 (13:56:14 CET)
ARTICLE
|
doi:10.20944/preprints202010.0209.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
SAR amplitude; Laplace distribution; Rician distribution; Statistical modelling
Online: 9 October 2020 (15:47:49 CEST)
ARTICLE
|
doi:10.20944/preprints202103.0042.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Modulus of elasticity; frequency spectrum; mic; Euler-Bernoulli equation
Online: 1 March 2021 (18:31:31 CET)
ARTICLE
|
doi:10.20944/preprints201807.0025.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
fractional differential equations; conformable derivative; Bernoulli equation; exact solution
Online: 3 July 2018 (06:04:53 CEST)
ARTICLE
|
doi:10.20944/preprints201702.0061.v1
Subject:
Engineering,
Electrical And Electronic Engineering
Keywords:
multi-target tracking; multi-Bernoulli filter; sequential Monte-Carlo
Online: 16 February 2017 (09:39:29 CET)
ARTICLE
|
doi:10.20944/preprints201901.0122.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
conformable fractional derivative; conformable partial fractional derivative; conformable double Laplace decomposition method; conformable Laplace transform; Singular one dimensional coupled Burgers equations
Online: 14 January 2019 (07:04:49 CET)
ARTICLE
|
doi:10.20944/preprints202404.0545.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Birth-death process; Catastrophe; Laplace transform; Probability density function
Online: 8 April 2024 (16:02:38 CEST)
ARTICLE
|
doi:10.20944/preprints202004.0088.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Enhance heat transfer; Nanofluids; CNTs; Fractional derivatives; Laplace transform
Online: 7 April 2020 (11:04:32 CEST)
ARTICLE
|
doi:10.20944/preprints201901.0272.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Flourier law of heat transfer; Temperature distribution; Laplace transform
Online: 28 January 2019 (09:49:47 CET)
ARTICLE
|
doi:10.20944/preprints202106.0178.v1
Subject:
Physical Sciences,
Chemical Physics
Keywords:
generalized nonlinear constitutive law; composite beam; Timoshenko beam; Bernoulli beam
Online: 7 June 2021 (12:48:26 CEST)
ARTICLE
|
doi:10.20944/preprints202102.0139.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
Wieghardt foundation; Bernoulli-Euler beams; nonlocal effects; integral nonlocal model
Online: 4 February 2021 (13:08:54 CET)
ARTICLE
|
doi:10.20944/preprints202012.0626.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Degenerate exponential function; degenerate gamma function; Sumudu transform; Laplace transform
Online: 24 December 2020 (13:52:29 CET)
ARTICLE
|
doi:10.20944/preprints201711.0076.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
fractional calculus; k-bessel function; fractional kinetic equations; laplace transforms
Online: 13 November 2017 (03:45:49 CET)
ARTICLE
|
doi:10.20944/preprints202209.0031.v1
Subject:
Engineering,
Control And Systems Engineering
Keywords:
Autonomous Vehicle; bicycle Robot; Control, path planning; differential equation; initial value problem; Runge-Kutta; scientific computing.
Online: 2 September 2022 (03:19:29 CEST)
ARTICLE
|
doi:10.20944/preprints202305.0373.v2
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Information; Quantum Physics; Matrix Exponential Function; Bernoulli Random Walk; BRW; Statistics
Online: 25 June 2023 (04:49:47 CEST)
ARTICLE
|
doi:10.20944/preprints201708.0099.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
inequality; ratio; Bernoulli number; Riemann zeta function; Dirichlet eta function; accuracy
Online: 28 August 2017 (09:30:34 CEST)
ARTICLE
|
doi:10.20944/preprints202311.0242.v1
Subject:
Computer Science And Mathematics,
Mathematical And Computational Biology
Keywords:
Fractional operators; singular and non-singular kernels; Laplace transform; numerical method
Online: 3 November 2023 (11:03:35 CET)
ARTICLE
|
doi:10.20944/preprints201811.0348.v1
Subject:
Biology And Life Sciences,
Parasitology
Keywords:
intestinal parasites; spatio-temporal; Poisson-gamma; Bayesian; Integrated Nested Laplace Approximations
Online: 15 November 2018 (06:10:13 CET)
ARTICLE
|
doi:10.20944/preprints201908.0212.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Special polynomials; gamma distribution; Cauchy product; generating function; Bernoulli polynomials; Euler polynomials.
Online: 20 August 2019 (11:08:39 CEST)
ARTICLE
|
doi:10.20944/preprints202208.0533.v1
Subject:
Engineering,
Control And Systems Engineering
Keywords:
autonomous vehicle, bicycle Robot, modelling, optimal control, path planning, differential equation, initial value problem, Runge-Kutta, scientific computing
Online: 31 August 2022 (05:02:14 CEST)
ARTICLE
|
doi:10.20944/preprints202311.0323.v1
Subject:
Engineering,
Aerospace Engineering
Keywords:
aeroservoelasticity; active flutter suppression; unsteady aerodynamics in the laplace domain; H-infinity
Online: 6 November 2023 (10:28:47 CET)
ARTICLE
|
doi:10.20944/preprints202111.0063.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Fractional derivatives; Caputo fractional derivative; the Caputo-Fabrizio fractional derivative; Laplace transform
Online: 3 November 2021 (08:29:12 CET)
ARTICLE
|
doi:10.20944/preprints202103.0256.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
New Iterative method; r-Laplace transform; Fractional-order Helmholtz equations; Caputo operator
Online: 9 March 2021 (10:16:30 CET)
ARTICLE
|
doi:10.20944/preprints201802.0119.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums
Online: 19 February 2018 (14:18:47 CET)
ARTICLE
|
doi:10.20944/preprints202301.0527.v1
Subject:
Engineering,
Control And Systems Engineering
Keywords:
Autonomous Vehicle; Bicycle Robot; Open-loop Control; Path Planning; Differential Equation; Initial Value Problem; Runge-Kutta Method; Scientific Computing
Online: 29 January 2023 (02:36:01 CET)
ARTICLE
|
doi:10.20944/preprints202310.1781.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series
Online: 27 October 2023 (12:51:38 CEST)
ARTICLE
|
doi:10.20944/preprints201806.0159.v1
Subject:
Computer Science And Mathematics,
Geometry And Topology
Keywords:
4-space; the third Laplace-Beltrami operator; rotational hypersurface; Gaussian curvature; mean curvature
Online: 11 June 2018 (12:35:51 CEST)
ARTICLE
|
doi:10.20944/preprints201902.0058.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum chaos; measurement; randomness; information; decoherence; dissipation; spin; Bernoulli map; kicked rotor; standard map
Online: 7 February 2019 (15:01:46 CET)
SHORT NOTE
|
doi:10.20944/preprints201703.0055.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial
Online: 10 March 2017 (10:28:19 CET)
ARTICLE
|
doi:10.20944/preprints202406.0260.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
unit distributions; Laplace distribution; generalized logistic map; stochastic properties; parameter estimation; quantiles; dynamics; regression
Online: 5 June 2024 (10:25:17 CEST)
ARTICLE
|
doi:10.20944/preprints202312.1917.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
bessel functions; fourier-legendre series; laplace series; generalized hypergeometric functions; polynomial approximations; computational methods
Online: 26 December 2023 (04:20:42 CET)
ARTICLE
|
doi:10.20944/preprints202310.0395.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Liouville derivative; scale derivative; Hadamard derivative; Laplace transform; Mellin transform; Z transform; Fourier transform
Online: 9 October 2023 (15:13:50 CEST)
ARTICLE
|
doi:10.20944/preprints202208.0389.v1
Subject:
Environmental And Earth Sciences,
Atmospheric Science And Meteorology
Keywords:
Numerical weather prediction; Time integration; Filtering; Laplace transform; semi-implicit; semi-Lagrangian; Forecast accuracy
Online: 23 August 2022 (03:13:59 CEST)
ARTICLE
|
doi:10.20944/preprints202111.0576.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
vegetation cover; latent heat of fusion; climate model; climate change; energy balance models; finite volume method; WENO reconstruction; Runge-Kutta TVD
Online: 30 November 2021 (17:35:17 CET)
ARTICLE
|
doi:10.20944/preprints201810.0018.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
CENTRAL WENO-TVD, hyperbolic conservation laws, volume finite framework, The Lax-Friedrichs and TVD fluxes, flux limiter-schemes, Runge-Kutta TVD
Online: 1 October 2018 (16:42:27 CEST)
COMMUNICATION
|
doi:10.20944/preprints202402.0717.v1
Subject:
Biology And Life Sciences,
Life Sciences
Keywords:
retina; hydrostatic pressure; physical training; Laplace pressure; dynamic pressure; water hammer pressure; ultimate tensile strength
Online: 13 February 2024 (07:49:27 CET)
ARTICLE
|
doi:10.20944/preprints202401.0938.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Fourier transform, Laplace-Carson transform, transient phenomena, state-space variables, electrical circuits, power electronic system.
Online: 11 January 2024 (14:17:17 CET)
ARTICLE
|
doi:10.20944/preprints202206.0224.v2
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
asymptotic expansion; Borel-Laplace transform; Fourier series; initial value problem; formal power series; singular perturbation
Online: 15 September 2022 (02:00:35 CEST)
ARTICLE
|
doi:10.20944/preprints202111.0495.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; singular perturbation
Online: 26 November 2021 (09:56:11 CET)
ARTICLE
|
doi:10.20944/preprints201808.0549.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Fractional nonlinear predator-prey population model; Biological systems; Laplace transform algorithm; Homotopy analysis transform technique
Online: 31 August 2018 (14:31:19 CEST)
ARTICLE
|
doi:10.20944/preprints201608.0129.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
parabolic Volterra integro-differential equations; memory kernel; Laplace transform; Fourier transform; convolution theorem; analytical solution
Online: 11 August 2016 (11:47:10 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0115.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-calculus; stirling numbers of the second kind; bernoulli polynomials and numbers; generating function; cauchy product
Online: 18 December 2017 (08:22:41 CET)
ARTICLE
|
doi:10.20944/preprints201712.0104.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)-calculus; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; Frobenius-Euler polynomials; generating function; Cauchy product
Online: 15 December 2017 (09:14:10 CET)
ARTICLE
|
doi:10.20944/preprints201905.0262.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
fractional telegraph model with Atangana-Baleanu derivative; Laplace method; stability inequalites; difference schemes; implicit finite method
Online: 21 May 2019 (11:43:12 CEST)
ARTICLE
|
doi:10.20944/preprints202005.0484.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
SEIR-SEI; Basic Reproduction number; Disease-Free equilibrium point (DFE); Endemic equilibrium point; Stability; Variational iteration method (VIM); Runge-Kutta-Felhberg (RKF-45)
Online: 31 May 2020 (17:39:41 CEST)
ARTICLE
|
doi:10.20944/preprints201808.0376.v1
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
continuity equation, Navier-Stokes equation, Bernoulli equation, existence and smoothens of the solutions of Navier-Stokes equation
Online: 21 August 2018 (10:12:40 CEST)
ARTICLE
|
doi:10.20944/preprints202312.1403.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Semi-structured Complex numbers; Semi-structured Complex analytic functions; Cauchy– Riemann Equations; Laplace Equation; Poisson Equation
Online: 19 December 2023 (08:01:08 CET)
ARTICLE
|
doi:10.20944/preprints202301.0582.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; formal monodromy; singular perturbation
Online: 31 January 2023 (10:17:51 CET)
ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
asymptotic expansion, Lambert W function, Borel-Laplace transform, Fourier transform, initial value problem, formal power series, singular perturbation
Online: 11 May 2021 (11:11:02 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; partial differential equation; singular perturbation
Online: 14 June 2020 (13:06:30 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
asymptotic expansion; Borel-Laplace transform; Cauchy problem; formal power series; integro-differential equation; partial differential equation; singular perturbation
Online: 23 April 2020 (04:33:13 CEST)
TECHNICAL NOTE
|
doi:10.20944/preprints202105.0660.v2
Subject:
Engineering,
Civil Engineering
Keywords:
Axially functionally graded non-prismatic Euler-Bernoulli beam; finite difference method; additional points; vibration analysis; direct time integration method
Online: 24 September 2021 (11:27:04 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; linear partial differential equation; singular perturbation
Online: 30 September 2020 (13:06:44 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; linear partial differential equation; singular perturbation
Online: 11 September 2020 (08:11:47 CEST)
ARTICLE
|
doi:10.20944/preprints202401.0738.v2
Subject:
Chemistry And Materials Science,
Nanotechnology
Keywords:
Functionally Graded (FG) Materials; Bernoulli-Euler Nanobeams; Stress-Driven Nonlocal Model; Free Vibration Analysis; Surface Energy Effects; Higher Vibration Modes
Online: 11 January 2024 (12:23:53 CET)
ARTICLE
|
doi:10.20944/preprints201712.0105.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Carlitz’s q-Bernoulli polynomials; Stirling numbers of the first kind; Stirling numbers of the second kind; p-adic q-integral
Online: 15 December 2017 (09:31:13 CET)
ARTICLE
|
doi:10.20944/preprints202403.0782.v1
Subject:
Medicine And Pharmacology,
Epidemiology And Infectious Diseases
Keywords:
Dengue incidence; Spatio-temporal Analysis; Geographically Weighted Regression; Integrated Nested Laplace Approximation (INLA); Spatial Aggregation Levels (Manzanas, Secciones, Sectores, Comunas)
Online: 13 March 2024 (16:05:49 CET)
ARTICLE
|
doi:10.20944/preprints202011.0463.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number; Lucas number; summation identity; series; generating function; gamma function; digamma function; trigonometric functions; inverse tangent; bernoulli number; zeta function
Online: 18 November 2020 (10:19:50 CET)
ARTICLE
|
doi:10.20944/preprints201712.0152.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)-calculus; apostol-bernoulli polynomials; apostol-euler polynomials; apostol- genocchi polynomials; stirling numbers of second kind; generating function; cauchy product
Online: 21 December 2017 (05:30:46 CET)
ARTICLE
|
doi:10.20944/preprints202308.1274.v1
Subject:
Chemistry And Materials Science,
Surfaces, Coatings And Films
Keywords:
sessile liquid droplet; evaporation rate; diffusion, Laplace equation, analytical solution, flux density, mass loss per unit surface area per unit time
Online: 17 August 2023 (11:39:17 CEST)
ARTICLE
|
doi:10.20944/preprints202403.0002.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
Frequency dependent mass or damping or stiffness, fractional inertia or damping or restoration force, equivalent motion equation, multi-fractional Euler-Bernoulli beam
Online: 1 March 2024 (10:30:13 CET)
ARTICLE
|
doi:10.20944/preprints201904.0309.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$q$-Hermite polynomials; $q$-Hermite-Fubini polynomials; $q$-Bernoulli polynomials; $q$-Euler polynomials; $q$-Genocchi polynomials; Stirling numbers of the second kind
Online: 28 April 2019 (10:15:26 CEST)
ARTICLE
|
doi:10.20944/preprints202104.0541.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Sinc methods; inverse Laplace transform; indefinite integrals; fractional calculus; Mittag−Leffler function; Prabhakar function; variable fractional order differentiation; variable fractional order integration
Online: 20 April 2021 (12:45:42 CEST)
ARTICLE
|
doi:10.20944/preprints202011.0343.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
complete monotonicity; necessary and sufficient condition; difference; derivative; trigamma function; convolution theorem for the Laplace transforms; Bernstein's theorem for completely monotonic functions
Online: 12 November 2020 (11:58:39 CET)
ARTICLE
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; linear integro-differential equation; partial differential equation; singular perturbation
Online: 24 December 2019 (14:24:38 CET)
ARTICLE
|
doi:10.20944/preprints201904.0126.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
power identities; polynomials; convolution; convolution power; integral transforms; power function; binomial theorem; multinomial theorem; Faulhaber's formula; Bernoulli numbers; Worpitzky identity; Stirling numbers; falling factorial
Online: 10 April 2019 (10:27:59 CEST)
ARTICLE
|
doi:10.20944/preprints202102.0559.v3
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Euler Bernoulli beam; finite difference method; additional points; element stiffness matrix; tapered beam; first-order analysis; second-order analysis; vibration analysis; direct time integration method
Online: 23 September 2021 (13:08:38 CEST)
ARTICLE
|
doi:10.20944/preprints202011.0315.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
necessary and sufficient condition; complete monotonicity; monotonicity; inequality; polygamma function; lower bound; sectional curvature; manifold; beta distribution; convolution theorem for the Laplace transforms and analytic techniques
Online: 10 November 2020 (13:26:15 CET)
ARTICLE
|
doi:10.20944/preprints201903.0179.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-numbers, p-adic numbers, p-adic gamma function, Mahler expansion, Bernoulli polynomials, Daehee polynomials, Stirling numbers of the first kind, Stirling numbers of the second kind.
Online: 20 August 2019 (11:17:13 CEST)
ARTICLE
|
doi:10.20944/preprints201904.0308.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$(p,q)$-calculus; $(p; q)$-Bernoulli polynomials; $(p; q)$-Euler polynomials; $(p; q)$-Genocchi polynomials; $(p; q)$-Fubini numbers and polynomials; $(p; q)$ Stirling numbers of the second kind
Online: 28 April 2019 (09:56:29 CEST)
ARTICLE
|
doi:10.20944/preprints202402.1667.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Gohar fractional calculus; Gohar fractional Laplace transform; Gohar fractional power series expansion; Left and right Gohar fractional derivatives; Left and right Gohar fractional integrals
Online: 29 February 2024 (09:13:33 CET)
ARTICLE
|
doi:10.20944/preprints201711.0157.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
series representation; power function; monomial; binomial theorem; multinomial theorem; worpitzky identity; stirling numbers of second kind; faulhaber's sum; finite difference; faulhaber's formula; central factorial numbers; binomial coefficients; binomial distribution; binomial transform; bernoulli numbers; oeis; multinomial coefficients
Online: 17 August 2018 (11:10:47 CEST)
ARTICLE
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doi:10.20944/preprints201708.0026.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faà di Bruno formula.
Online: 8 August 2017 (07:59:57 CEST)
ARTICLE
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doi:10.20944/preprints201707.0052.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Gauss-exponential distribution; Gauss-Laplace distribution; stochastic vector representation; geometric measure representation; (p,q)-generalized polar coordinates; (p,q)-arc length; dynamic intersection proportion function; (p,q)-generalized Box-Muller simulation method; (p,q)-spherical uniform distribution; dynamic geometric disintegration
Online: 19 July 2017 (04:35:06 CEST)