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Volume 12
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Article

Some Identities on the Poly-Genocchi Polynomials and Numbers

by
Dmitry V. Dolgy
1 and
Lee-Chae Jang
2,*
1
Kwangwoon Glocal Education Center, Kwangwoon University, Seoul 139-701, Korea
2
Graduate School of Education, Konkuk University, Seoul 143-701, Korea
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1007; https://doi.org/10.3390/sym12061007
Submission received: 28 May 2020 / Revised: 8 June 2020 / Accepted: 9 June 2020 / Published: 14 June 2020
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with Their Applications Ⅱ)
Versions Notes

Abstract

Recently, Kim-Kim (2019) introduced polyexponential and unipoly functions. By using these functions, they defined type 2 poly-Bernoulli and type 2 unipoly-Bernoulli polynomials and obtained some interesting properties of them. Motivated by the latter, in this paper, we construct the poly-Genocchi polynomials and derive various properties of them. Furthermore, we define unipoly Genocchi polynomials attached to an arithmetic function and investigate some identities of them.
Keywords: polylogarithm functions; poly-Genocchi polynomials; unipoly functions; unipoly Genocchi polynomials polylogarithm functions; poly-Genocchi polynomials; unipoly functions; unipoly Genocchi polynomials

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MDPI and ACS Style

Dolgy, D.V.; Jang, L.-C. Some Identities on the Poly-Genocchi Polynomials and Numbers. Symmetry 2020, 12, 1007. https://doi.org/10.3390/sym12061007

AMA Style

Dolgy DV, Jang L-C. Some Identities on the Poly-Genocchi Polynomials and Numbers. Symmetry. 2020; 12(6):1007. https://doi.org/10.3390/sym12061007

Chicago/Turabian Style

Dolgy, Dmitry V., and Lee-Chae Jang. 2020. "Some Identities on the Poly-Genocchi Polynomials and Numbers" Symmetry 12, no. 6: 1007. https://doi.org/10.3390/sym12061007

APA Style

Dolgy, D. V., & Jang, L.-C. (2020). Some Identities on the Poly-Genocchi Polynomials and Numbers. Symmetry, 12(6), 1007. https://doi.org/10.3390/sym12061007

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