A FAMILY OF FUNCTIONS ASSOCIATED WITH THREE TERM RELATIONS AND EISENSTEIN SERIES
Bulletin of the Korean Mathematical Society, cilt.53, sa.6, ss.1671-1683, 2016 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 53 Sayı: 6
- Basım Tarihi: 2016
- Doi Numarası: 10.4134/bkms.b150870
- Dergi Adı: Bulletin of the Korean Mathematical Society
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1671-1683
- Anahtar Kelimeler: three term relations, period function, Eisenstein series, Riemann zeta function, PERIOD FUNCTIONS, FORMS, SUMS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, for a is an element of C, we investigate functions g(a), and psi(a) associated with three term relations. ga is defined by means of function psi(a). By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function g(a).