A FAMILY OF FUNCTIONS ASSOCIATED WITH THREE TERM RELATIONS AND EISENSTEIN SERIES
Bulletin of the Korean Mathematical Society, vol.53, no.6, pp.1671-1683, 2016 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 53 Issue: 6
- Publication Date: 2016
- Doi Number: 10.4134/bkms.b150870
- Journal Name: Bulletin of the Korean Mathematical Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1671-1683
- Keywords: three term relations, period function, Eisenstein series, Riemann zeta function, PERIOD FUNCTIONS, FORMS, SUMS
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
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).