Some Identities on the Poly-Genocchi Polynomials and Numbers

Some Identities on the Poly-Genocchi Polynomials and Numbers

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 po...

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Veröffentlicht in:Symmetry (Basel) 2020-06, Vol.12 (6), p.1007
Hauptverfasser: Dolgy, Dmitry V., Jang, Lee-Chae
Format: Artikel
Sprache:eng
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Mathematical analysis
Mathematical functions
Polynomials
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Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12061007