The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications
APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.678-682, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 218 Sayı: 3
- Basım Tarihi: 2011
- Doi Numarası: 10.1016/j.amc.2011.03.090
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.678-682
- Anahtar Kelimeler: Generalized Dedekind eta functions, Eisenstein series, Theta functions, Hecke operators, Weierstrass type functions, Weber functions, Bernoulli numbers, Riemann zeta function
- Akdeniz Üniversitesi Adresli: Evet
Özet
The aim of this paper is to study and discuss the action of the Hecke operators to not only the generalized the Weber-type functions, but also the kth derivative of the Weierstrass-type functions. Furthermore, relations related to the Weierstrass-type functions and Riemann zeta and theta function are found. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.