On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $\theta$-Function
Classical Analysis and ODEs
2007-05-23 v2 Complex Variables
Abstract
We will use a discrete analogue of the classical Laplace method to show that the main term of the asymptotic expansions of certain entire functions, including Ramanujan's entire function , can be expressed in terms of -functions.
Cite
@article{arxiv.math/0606782,
title = {On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $\theta$-Function},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:math/0606782},
year = {2007}
}
Comments
15 pages