[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2011.19.4.465

IDENTITIES ABOUT INFINITE SERIES CONTAINING HYPERBOLIC FUNCTIONS AND TRIGONOMETRIC FUNCTIONS

Lim, Sung-Geun (Department of Mathematics Mokwon University)

Publication Information

Korean Journal of Mathematics / v.19, no.4, 2011 , pp. 465-480 More about this Journal

Abstract

B. C. Berndt established many identities about infinite series. In this paper, continuing his work, we find new identities about infinite series containing hyperbolic functions and trigonometric functions.

Keywords

infinite series; modular transformation; Eisenstein series;

Citations & Related Records

Reference

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3	B.C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, J. Reine Angew. Math. 304 (1978), 332-365.
4	S. Lim, Infinite series Identities from modular transformation formulas that stem from generalized Eisenstein series, Acta Arith. 141 (3) (2010), 241-273. DOI
5	S. Lim, Series relations from certain modular transformation formula, J. Chungcheong Math. Soc. 24 (3) (2011), 481-502.
6	S. Ramanujan, Notebooks of Srinivasa Ramanujan (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957.