Hecke operators type and generalized Apostol-Bernoulli polynomials
FIXED POINT THEORY AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2013
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1687-1812-2013-92
- Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Hecke operators, Hurwitz zeta function, generalized Apostol-Bernoulli type polynomials, Bernoulli polynomials, Euler polynomials, EULER
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.