On A Relation Between $q$-Exponential And $\theta$-Function
Classical Analysis and ODEs
2007-05-23 v1 Complex Variables
Abstract
We will use a discrete analogue of the classical Laplace method to show that for infinitely many positive integers , the main term of the asymptotic expansion of the scaled -exponential could be expressed in -function.
Cite
@article{arxiv.math/0606781,
title = {On A Relation Between $q$-Exponential And $\theta$-Function},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:math/0606781},
year = {2007}
}