Asymptotic Expansions for q-Gamma, q-Exponential, and q-Bessel Functions

New asymptotic expansions are given for the q-gamma function, the q-exponential functions, and for the Hahn-Exton q-Bessel function. For the theta functions, four expansions are given. And for the Hahn-Exton q-Bessel difference equation, a new solution is given, which forms with the Hahn-Exton q-Bessel function a numerically satisfactory pair of solutions.