Scaled Asymptotics for Some q-Series as q Approaches One

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In this work we investigate Plancherel-Rotach type asymptotics for some q-series as q→1. These q-series generalize Ramanujan function Aq(z) (q-Airy function), Jackson's q-Bessel function Jν⁽²⁾(z;q), Ismail-Masson orthogonal polynomials(q⁻¹-Hermite polynomials) hₙ(x|q), Stieltjes-Wigert orthogonal polynomials Sₙ(x;q), q-Laguerre orthogonal polynomials Lₙ⁽α⁾(x;q) and confluent basic hypergeometric series.