Sums of finite products of Pell polynomials in terms of hypergeometric functions - Egyptian Knowledge Bank

386308

Sums of finite products of Pell polynomials in terms of hypergeometric functions

Article

Last updated: 05 Jan 2025

Subjects

Abstract

In this work, we study sums of finite products of Pell polynomials and express them
in terms of some special orthogonal polynomials. Furthermore, each of the obtained
expression is represented as linear combinations of classical polynomials involving
hypergeometric functions by means of explicit computations.

DOI

10.1186/s42787-022-00137-y

Keywords

Pell polynomials, Chebyshev polynomials, hypergeometric functions, Finite products

Volume

Article Issue

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-15

Publish Date

2022-01-01

Page Start

Page End

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 30_Issue 1_Pages 1-20.pdf

PDF . 2.8MB

Link

https://joems.journals.ekb.eg/article_386308.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386308

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Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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