FIXED POINT THEORY AND APPLICATIONS, vol.2013, 2013 (SCI-Expanded)
Article / Article
FIXED POINT THEORY AND APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Hecke operators, Hurwitz zeta function, generalized Apostol-Bernoulli type polynomials, Bernoulli polynomials, Euler polynomials, EULER
Akdeniz University Affiliated:
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.