Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0

We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. From this, we derive some identities on -Euler numbers and polynomials of higher order with weight 0.

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Main Authors: Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/459763
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author Jongsung Choi
Hyun-Mee Kim
Young-Hee Kim
author_facet Jongsung Choi
Hyun-Mee Kim
Young-Hee Kim
author_sort Jongsung Choi
collection DOAJ
description We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. From this, we derive some identities on -Euler numbers and polynomials of higher order with weight 0.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-71380334c7ba4ecbb7bb37f9f919fcaf2025-02-03T01:03:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/459763459763Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0Jongsung Choi0Hyun-Mee Kim1Young-Hee Kim2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of General Education-Mathematics, Kookmin University, Seoul 136-702, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaWe construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. From this, we derive some identities on -Euler numbers and polynomials of higher order with weight 0.http://dx.doi.org/10.1155/2013/459763
spellingShingle Jongsung Choi
Hyun-Mee Kim
Young-Hee Kim
Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
Abstract and Applied Analysis
title Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
title_full Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
title_fullStr Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
title_full_unstemmed Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
title_short Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0
title_sort some identities on the high order euler numbers and polynomials with weight 0
url http://dx.doi.org/10.1155/2013/459763
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