Scaled Asymptotics For Some $q$-Series As $q$ Approaching Unit
Classical Analysis and ODEs
2007-11-28 v1
Abstract
In this work we investigate Plancherel-Rotach type asymptotics for some -series as . These -series generalize Ramanujan function ; Jackson's -Bessel function (z;q), Ismail-Masson orthogonal polynomials(-Hermite polynomials) , Stieltjes-Wigert orthogonal polynomials , -Laguerre orthogonal polynomials and confluent basic hypergeometric series.
Cite
@article{arxiv.0711.4161,
title = {Scaled Asymptotics For Some $q$-Series As $q$ Approaching Unit},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:0711.4161},
year = {2007}
}
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