On q-Euler Numbers Related to the Modified q-Bernstein Polynomials

We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related...

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Main Authors: Min-Soo Kim, Daeyeoul Kim, Taekyun Kim
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/952384
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author Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
author_facet Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
author_sort Min-Soo Kim
collection DOAJ
description We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ℤp.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-c78e9cecbdd045c589dc558c23e828682025-02-03T01:23:29ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/952384952384On q-Euler Numbers Related to the Modified q-Bernstein PolynomialsMin-Soo Kim0Daeyeoul Kim1Taekyun Kim2Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of KoreaNational Institute for Mathematical Sciences, Doryong-dong, Yuseong-gu, Daejeon 305-340, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul, 139-701, Republic of KoreaWe consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ℤp.http://dx.doi.org/10.1155/2010/952384
spellingShingle Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
Abstract and Applied Analysis
title On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_full On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_fullStr On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_full_unstemmed On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_short On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_sort on q euler numbers related to the modified q bernstein polynomials
url http://dx.doi.org/10.1155/2010/952384
work_keys_str_mv AT minsookim onqeulernumbersrelatedtothemodifiedqbernsteinpolynomials
AT daeyeoulkim onqeulernumbersrelatedtothemodifiedqbernsteinpolynomials
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