A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials-Reference-Cited by-同舟云学术

A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials

Published:2020-11-27 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Cao Jian,Xu Binbin,Arjika Sama^ORCID

Abstract

AbstractIn this paper, we deduce the generalizedq-difference equations for general Al-Salam–Carlitz polynomials and generalize Arjika’s recent results (Arjika in J. Differ. Equ. Appl. 26:987–999, 2020). In addition, we obtain transformational identities by the method ofq-difference equation. Moreover, we deduce

$U(n+1)$

U(n+1)type generating functions and Ramanujan’s integrals involving general Al-Salam–Carlitz polynomials byq-difference equation.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-020-03133-7.pdf

Reference45 articles.

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