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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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 |
id | doaj-art-71380334c7ba4ecbb7bb37f9f919fcaf |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT jongsungchoi someidentitiesonthehighordereulernumbersandpolynomialswithweight0 AT hyunmeekim someidentitiesonthehighordereulernumbersandpolynomialswithweight0 AT youngheekim someidentitiesonthehighordereulernumbersandpolynomialswithweight0 |