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Cited 25 time in webofscience Cited 29 time in scopus
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A note on degenerate Genocchi and poly-Genocchi numbers and polynomialsopen access

Authors
Kim, TaekyunKim, Dae SanKwon, JongkyumKim, Han Young
Issue Date
21-Apr-2020
Publisher
Gordon and Breach Science Publishers
Keywords
Degenerate poly-Genocchi polynomials and numbers; Modified degenerate polyexponential functions; Higher-order degenerate Genocchi polynomials and numbers; Higher-order Changhee polynomials and numbers
Citation
Journal of Inequalities and Applications, v.2020, no.1
Indexed
SCIE
SCOPUS
Journal Title
Journal of Inequalities and Applications
Volume
2020
Number
1
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/6711
DOI
10.1186/s13660-020-02378-w
ISSN
1025-5834
1029-242X
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.
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