Hecke operators type and generalized Apostol-Bernoulli polynomials

被引：0
作者：
Aykut Ahmet Aygunes
Abdelmejid Bayad
Yilmaz Simsek
机构：
[1] Akdeniz University,Department of Mathematics, Faculty of Science
[2] Universite d’Evry Val d’Essonne,Departement de mathematiques
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
Hecke operators; Hurwitz zeta function; generalized Apostol-Bernoulli type polynomials; Bernoulli polynomials; Euler polynomials;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we construct some Hecke-type operators acting on the complex polynomials space, and we prove their commutativity. By means of this commutativity, we find a new approach to establish the generating function of the Apostol-Bernoulli type polynomials which are eigenfunctions of these Hecke-type operators. Moreover, we derive many useful identities related to these operators and polynomials.
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