SCALED ASYMPTOTICS FOR SOME q-SERIES

This work, investigates the asymptotics for Euler’s q-exponential Eq(z), Ramanujan’s function Aq(z), Jackson’s q-Bessel function Jv⁽²⁾ (z; q), the Stieltjes–Wigert orthogonal polynomials Sn(x; q) and q-Laguerre polynomials Ln^(α) (x; q) as q approaches 1.