English

Scaled Asymptotics For Some $q$-Series

Classical Analysis and ODEs 2007-05-23 v4 Complex Variables

Abstract

In this work we investigate the asymptotics for Euler's qq-Exponential Eq(z)E_{q}(z), qq-Gamma function Γq(z)\Gamma_{q}(z), Ramanujan's function Aq(z)A_{q}(z), Jackson's qq-Bessel function Jν(2)J_{\nu}^{(2)}(z;q) of second kind, Stieltjes-Wigert orthogonal polynomials Sn(x;q)S_{n}(x;q) and qq-Laguerre polynomials Ln(α)(x;q)L_{n}^{(\alpha)}(x;q) as qq approaching 1.

Keywords

Cite

@article{arxiv.math/0703030,
  title  = {Scaled Asymptotics For Some $q$-Series},
  author = {Ruiming Zhang},
  journal= {arXiv preprint arXiv:math/0703030},
  year   = {2007}
}

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18pages