A note on degenerate Genocchi and poly-Genocchi numbers and polynomials

Autor:	Taekyun Kim, Dae San Kim, Jongkyum Kwon, Han Young Kim
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Degenerate poly-Genocchi polynomials and numbers Modified degenerate polyexponential functions Higher-order degenerate Genocchi polynomials and numbers Higher-order Changhee polynomials and numbers Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-13 (2020)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-020-02378-w
Popis:	Abstract Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers arising from the modified polyexponential function. In this paper, we study the degenerate poly-Genocchi polynomials and numbers constructed from the modified degenerate polyexponential function. We derive explicit expressions for those polynomials and numbers. Also, we obtain identities involving those polynomials and numbers and some other special numbers and polynomials. In addition, we investigate the higher-order degenerate Genocchi polynomials and find identities involving those polynomials and the higher-order Changhee polynomials.
Databáze:	Directory of Open Access Journals
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