Atıf İçin Kopyala
Aygüneş A. A., Bayad A., ŞİMŞEK Y.
FIXED POINT THEORY AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
2013
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Basım Tarihi:
2013
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Doi Numarası:
10.1186/1687-1812-2013-92
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Dergi Adı:
FIXED POINT THEORY AND APPLICATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Anahtar Kelimeler:
Hecke operators, Hurwitz zeta function, generalized Apostol-Bernoulli type polynomials, Bernoulli polynomials, Euler polynomials, EULER
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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.