arXiv Open Access 2023

Some Expansion Formulas for Brenke Polynomial Sets

H. Chaggara A. Gahami and N. Ben Romdhane

Lihat Sumber

Abstrak

In this paper, we derive some explicit expansion formulas associated to Brenke polynomials using operational rules based on their corresponding generating functions. The obtained coefficients are expressed either in terms of finite double sums or finite sums or sometimes in closed hypergeometric terms. The derived results are applied to Generalized Gould-Hopper polynomials and Generalized Hermite polynomials introduced by Szegö and Chihara. Some well-known duplication and convolution formulas are deduced as particular cases.

Topik & Kata Kunci

math.CA

Penulis (3)

H. Chaggara

A. Gahami and

N. Ben Romdhane

Format Sitasi

APA MLA BibTeX

Chaggara, H., and, A.G., Romdhane, N.B. (2023). Some Expansion Formulas for Brenke Polynomial Sets. https://arxiv.org/abs/2301.13643

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓