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arXiv:math/0606782 [math.CA]AbstractReferencesReviewsResources

On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $θ$-Function

Ruiming Zhang

Published 2006-06-30, updated 2006-11-27Version 2

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 $A_{q}(z)$, can be expressed in terms of $\theta$-functions.

Comments: 15 pages
Categories: math.CA, math.CV
Subjects: 33D45, 33E05
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