Some results on degenerate Daehee and Bernoulli numbers and polynomials

In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were actually called the degenerate Daehee polynomials and numbers of the third kind and recently introduced by Jang et al. (J. Comput. Appl. Math. 364:1123...

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Bibliographic Details
Published in:Advances in difference equations Vol. 2020; no. 1; pp. 1 - 13
Main Authors: Kim, Taekyun, Kim, Dae San, Kim, Han Young, Kwon, Jongkyum
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 23.06.2020
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications
Degenerate Daehee polynomials and numbers
Difference and Functional Equations
Functional Analysis
Higher-order degenerate Daehee polynomials and numbers
Mathematics
Mathematics and Statistics
Methods
Multiple degenerate Daehee numbers
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Topics in Special Functions and q-Special Functions: Theory
Multiple degenerate Daehee numbers
05A19
Degenerate Daehee polynomials and numbers
Higher-order degenerate Daehee polynomials and numbers
11B83
11B73
ISSN:1687-1847, 1687-1839, 1687-1847
Online Access:Get full text
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Summary:In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were actually called the degenerate Daehee polynomials and numbers of the third kind and recently introduced by Jang et al. (J. Comput. Appl. Math. 364:112343, 2020 ). We derive their explicit expressions and some identities involving them. Further, we introduce the multiple degenerate Daehee numbers and higher-order degenerate Daehee polynomials and numbers which can be represented in terms of integrals on the unitcube. Again, we deduce their explicit expressions and some identities related to them.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02778-8