Hecke operators type and generalized Apostol-Bernoulli polynomials-Reference-Cited by-同舟云学术

Hecke operators type and generalized Apostol-Bernoulli polynomials

Published:2013-04-10 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Aygunes Aykut Ahmet,Bayad Abdelmejid,Simsek Yilmaz

Abstract

Abstract 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. MSC:11M35, 30B40, 30B50.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2013-92.pdf

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