Partial Hecke-type operators and their applications Doc 303

The aim of this paper is to give not only the matrix representation of partial Hecke-type operators by means of Bernoulli polynomials and Euler polynomials, but also functional equations and differential equations related to partial Hecke-type operators and special polynomials. By using these functi...

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Bibliographic Details
Published inBoundary value problems Vol. 2013; p. 1
Main Authors Aygunes, Aykut Ahmet, Simsek, Yilmaz
Format Journal Article
LanguageEnglish
Published New York Hindawi Limited 01.03.2013
Subjects
Boundary value problems
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Summary:The aim of this paper is to give not only the matrix representation of partial Hecke-type operators by means of Bernoulli polynomials and Euler polynomials, but also functional equations and differential equations related to partial Hecke-type operators and special polynomials. By using these functional equations and differential equations, we derive some identities associated with special polynomials and partial Hecke-type operators. Moreover, we find several useful identities and relations using the partial Hecke operators. MSC: 05B20, 11B68, 11F25.[PUBLICATION ABSTRACT]
ISSN:1687-2762
1687-2770
DOI:10.1186/1687-2770-2013-46