The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications

Aygunes A. A., ŞİMŞEK Y.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.678-682, 2011 (SCI-Expanded) identifier identifier

  • 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.