Fully degenerate poly-Bernoulli numbers and polynomials

In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.

Bibliographic Details
Main Authors:	Kim Taekyun, Kim Dae San, Seo Jong-Jin
Format:	Article
Language:	English
Published:	De Gruyter 2016-01-01
Series:	Open Mathematics
Subjects:	fully degenerate poly-bernoulli polynomial fully degenerate poly-bernoulli number umbral calculus 11b75 11b83 05a19 05a40
Online Access:	https://doi.org/10.1515/math-2016-0048

id	doaj-e9efce7960464233a403ac9a32e702db
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spelling	doaj-e9efce7960464233a403ac9a32e702db2021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552016-01-0114154555610.1515/math-2016-0048math-2016-0048Fully degenerate poly-Bernoulli numbers and polynomialsKim Taekyun0Kim Dae San1Seo Jong-Jin2Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China and Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea (Republic of)Department of Mathematics, Sogang University, Seoul 121-742, Korea (Republic of)Department of Applied Mathematics, Pukyong Natioanl University, Pusan, Korea (Republic of)In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.https://doi.org/10.1515/math-2016-0048fully degenerate poly-bernoulli polynomialfully degenerate poly-bernoulli numberumbral calculus11b7511b8305a1905a40
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kim Taekyun Kim Dae San Seo Jong-Jin
spellingShingle	Kim Taekyun Kim Dae San Seo Jong-Jin Fully degenerate poly-Bernoulli numbers and polynomials Open Mathematics fully degenerate poly-bernoulli polynomial fully degenerate poly-bernoulli number umbral calculus 11b75 11b83 05a19 05a40
author_facet	Kim Taekyun Kim Dae San Seo Jong-Jin
author_sort	Kim Taekyun
title	Fully degenerate poly-Bernoulli numbers and polynomials
title_short	Fully degenerate poly-Bernoulli numbers and polynomials
title_full	Fully degenerate poly-Bernoulli numbers and polynomials
title_fullStr	Fully degenerate poly-Bernoulli numbers and polynomials
title_full_unstemmed	Fully degenerate poly-Bernoulli numbers and polynomials
title_sort	fully degenerate poly-bernoulli numbers and polynomials
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2016-01-01
description	In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
topic	fully degenerate poly-bernoulli polynomial fully degenerate poly-bernoulli number umbral calculus 11b75 11b83 05a19 05a40
url	https://doi.org/10.1515/math-2016-0048
work_keys_str_mv	AT kimtaekyun fullydegeneratepolybernoullinumbersandpolynomials AT kimdaesan fullydegeneratepolybernoullinumbersandpolynomials AT seojongjin fullydegeneratepolybernoullinumbersandpolynomials
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Fully degenerate poly-Bernoulli numbers and polynomials

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