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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Vydáno v:	Advances in difference equations Ročník 2020; číslo 1; s. 1 - 13
Hlavní autoři:	Kim, Taekyun, Kim, Dae San, Kim, Han Young, Kwon, Jongkyum
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 23.06.2020 Springer Nature B.V SpringerOpen
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-020-02778-8