Representations by degenerate Daehee polynomials

Author:

Kim Taekyun1,Kim Dae San2,Lee Hyunseok1,Kwon Jongkyum3

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, Gyeongsang National University , Jinju 52828 , Republic of Korea

Abstract

Abstract In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Probabilistic Type 2 poly-Bernoulli Polynomials;European Journal of Pure and Applied Mathematics;2024-07-31

2. Some Identities on  λ-Analogues of Lah Numbers and Lah-Bell Polynomials;European Journal of Pure and Applied Mathematics;2024-07-31

3. On new generalized discrete U -Bernoulli-Korobov-kind polynomials and some of their properties;Journal of Mathematics and Computer Science;2024-06-20

4. Some identities of degenerate higher-order Daehee polynomials based on $ \lambda $-umbral calculus;Electronic Research Archive;2023

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