On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials

In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials.

Bibliographic Details
Main Authors:	Cheon Seoung Ryoo, Waseem A. Khan
Format:	Article
Language:	English
Published:	MDPI AG 2020-03-01
Series:	Mathematics
Subjects:	poly-bernoulli polynomials poly-genocchi polynomials appell polynomials generating functions stirling numbers of the second kind
Online Access:	https://www.mdpi.com/2227-7390/8/3/417

id	doaj-5acc5ef64b6c4dd6a9bd1e700bef9cb5
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spelling	doaj-5acc5ef64b6c4dd6a9bd1e700bef9cb52020-11-25T01:41:51ZengMDPI AGMathematics2227-73902020-03-018341710.3390/math8030417math8030417On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi PolynomialsCheon Seoung Ryoo0Waseem A. Khan1Department of Mathematics, Hannam University, Daejeon 34430, KoreaDepartment of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Saudi ArabiaIn this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials.https://www.mdpi.com/2227-7390/8/3/417poly-bernoulli polynomialspoly-genocchi polynomialsappell polynomialsgenerating functionsstirling numbers of the second kind
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cheon Seoung Ryoo Waseem A. Khan
spellingShingle	Cheon Seoung Ryoo Waseem A. Khan On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials Mathematics poly-bernoulli polynomials poly-genocchi polynomials appell polynomials generating functions stirling numbers of the second kind
author_facet	Cheon Seoung Ryoo Waseem A. Khan
author_sort	Cheon Seoung Ryoo
title	On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
title_short	On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
title_full	On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
title_fullStr	On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
title_full_unstemmed	On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
title_sort	on two bivariate kinds of poly-bernoulli and poly-genocchi polynomials
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-03-01
description	In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials.
topic	poly-bernoulli polynomials poly-genocchi polynomials appell polynomials generating functions stirling numbers of the second kind
url	https://www.mdpi.com/2227-7390/8/3/417
work_keys_str_mv	AT cheonseoungryoo ontwobivariatekindsofpolybernoulliandpolygenocchipolynomials AT waseemakhan ontwobivariatekindsofpolybernoulliandpolygenocchipolynomials
_version_	1725039411081510912

On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials

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