# Degenerate polyexponential-Genocchi numbers and polynomials

Volume 22, Issue 4, pp 381--391
Publication Date: September 05, 2020 Submission Date: June 22, 2020 Revision Date: July 22, 2020 Accteptance Date: July 29, 2020
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### Authors

Waseem A. Khan - Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia. Aysha Khan - Department of Mathematics, College of Arts and Science-Wadi Al dawasir, Prince Sattam Bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. Idrees A. Khan - Department of Mathematics, Faculty of Science, Integral University, Lucknow 226026, India.

### Abstract

Recently, Kim et al. in [T. Kim, D. S. Kim, H. Y. Kim, L.-C. Jang, Informatica, $\bf 3$ (2020), 8 pages] studied the degenerate poly-Bernoulli numbers and polynomials which are defined by using the polylogarithm function. In this paper, we study the degenerate polyexponential-Genocchi polynomials and numbers arising from polyexponential function and derive their explicit expressions and some identity involving them. In the final section, we introduce degenerate unipoly-Genocchi polynomials attached to an arithmetic function, by using polylogarithm function and investigate some identities for those polynomials.

### Share and Cite

##### ISRP Style

Waseem A. Khan, Aysha Khan, Idrees A. Khan, Degenerate polyexponential-Genocchi numbers and polynomials, Journal of Mathematics and Computer Science, 22 (2021), no. 4, 381--391

##### AMA Style

Khan Waseem A., Khan Aysha, Khan Idrees A., Degenerate polyexponential-Genocchi numbers and polynomials. J Math Comput SCI-JM. (2021); 22(4):381--391

##### Chicago/Turabian Style

Khan, Waseem A., Khan, Aysha, Khan, Idrees A.. "Degenerate polyexponential-Genocchi numbers and polynomials." Journal of Mathematics and Computer Science, 22, no. 4 (2021): 381--391

### Keywords

• Polylogarithm function
• degenerate poly-Bernoulli polynomials
• degenerate poly-Genocchi polynomials
• unipoly function

•  11B83
•  05A19
•  65Q30

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