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Hecke operators type and generalized Apostol-Bernoulli polynomials

✍ Scribed by Aykut Ahmet Aygunes, Abdelmejid Bayad, Yilmaz Simsek

Book ID
120735813
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
186 KB
Volume
2013
Category
Article
ISSN
1687-1820

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The purpose of this paper is to give several symmetric identities on the generalized Apostol-Bernoulli polynomials by applying the generating functions. These results extend some known identities.

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The main object of this paper is to investigate the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials. We first establish two relationships between the generalized Apostol-Bernoulli and Apostol-Euler polynomials. It can be found that many results obtained before are special cases of th