Article
Version 1
Preserved in Portico This version is not peer-reviewed
On Analytic Multivalent Function Associated with Cosine Hyperbolic Function
Version 1
: Received: 28 March 2021 / Approved: 29 March 2021 / Online: 29 March 2021 (14:49:08 CEST)
How to cite: MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints 2021, 2021030702. https://doi.org/10.20944/preprints202103.0702.v1 MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints 2021, 2021030702. https://doi.org/10.20944/preprints202103.0702.v1
Abstract
In this article, we set up some adequate conditions for analytic functions associated with cosine hyperbolic function. We determine conditions on α such that
1+α (ϰ^(2+P(j-1) ) g^' (ϰ))/(Pg^j (ϰ)),for each j=0,1,2,3
are subordinated by Janowski function, then (g(ϰ))/ϰ^P <cosℏ(ϰ),(ϰ∈C). By choosing specific values of functions g we get some adequate conditions for multivalent starlike function related with cosine hyperbolic.
Keywords
Multivalent functions, Janowski function, Trigonometric functions
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment