Analogues of a transformation formula of Ramanujan
Number Theory
2009-04-08 v2
Abstract
We derive two new analogues of a transformation formula of Ramanujan involving the Gamma and Riemann zeta functions present in the Lost Notebook. Both involve infinite series consisting of Hurwitz zeta functions and yield modular relations. As a special case of the first formula, we obtain an identity involving polygamma functions given by Andrew P. Guinand and as a limiting case of the second formula, we derive the transformation formula of Ramanujan.
Keywords
Cite
@article{arxiv.0904.1056,
title = {Analogues of a transformation formula of Ramanujan},
author = {Atul Dixit},
journal= {arXiv preprint arXiv:0904.1056},
year = {2009}
}
Comments
18 pages