Qi, F.; Guo, B.-N. Some Properties of the Hermite Polynomials. Georgian Mathematical Journal, 2021, 28, 925–935. https://doi.org/10.1515/gmj-2020-2088.
Qi, F.; Guo, B.-N. Some Properties of the Hermite Polynomials. Georgian Mathematical Journal, 2021, 28, 925–935. https://doi.org/10.1515/gmj-2020-2088.
Qi, F.; Guo, B.-N. Some Properties of the Hermite Polynomials. Georgian Mathematical Journal, 2021, 28, 925–935. https://doi.org/10.1515/gmj-2020-2088.
Qi, F.; Guo, B.-N. Some Properties of the Hermite Polynomials. Georgian Mathematical Journal, 2021, 28, 925–935. https://doi.org/10.1515/gmj-2020-2088.
Abstract
In the paper, the authors consider the generating functions of the Hermite polynomials and their squares, present explicit formulas for higher order derivatives of the generating functions of the Hermite polynomials and their squares, which can be viewed as ordinary differential equations or derivative polynomials, find differential equations that the generating functions of the Hermite polynomials and their squares satisfy, and derive explicit formulas and recurrence relations for the Hermite polynomials and their squares.
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.
(Click to see Publons profile: )
The commenter has declared there is no conflict of interests.
Comment:
Please cite this article as
Feng Qi and Bai-Ni Guo, Some properties of the Hermite polynomials, Georgian Mathematical Journal 28 (2021), no. 6, 925--935; available online at https://doi.org/10.1515/gmj-2020-2088
Commenter:
The commenter has declared there is no conflict of interests.
Feng Qi and Bai-Ni Guo, Some properties of the Hermite polynomials, Georgian Mathematical Journal 28 (2021), no. 6, 925--935; available online at https://doi.org/10.1515/gmj-2020-2088