<i>λ</i>-<i>q</i>-Sheffer sequence and its applications-Reference-Cited by-同舟云学术

λ-q-Sheffer sequence and its applications

Published:2022-01-01 Issue:1 Volume:55 Page:843-865
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Kim Taekyun¹,Kim Dae San²,Kim Hye Kyung³

Affiliation:

1. Department of Mathematics, Kwangwoon University , Seoul 139-701 , Republic of Korea

2. Department of Mathematics, Sogang University , Seoul 121-742 , Republic of Korea

3. Department of Mathematics Education, Daegu Catholic University , Gyeongsan 38430 , Republic of Korea

Abstract

Abstract Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the view point of degenerate umbral calculus and investigate some properties related to those sequences. In addition, we give some new identities associated with q-special polynomials arising from our investigation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0174/pdf

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