Asymptotics of basic Bessel functions and q-Laguerre polynomials

نویسنده

  • Yang Chen
چکیده

We establish a large n complete asymptotic expansion for q-Laguerre polynomials and a complete asymptotic expansion for a q-Bessel function of large argument. These expansions are needed in our study of an exactly solvable random transfer matrix model for disordered electronic systems. We also give a new derivation of an asymptotic formula due to Littlewood (1907).

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تاریخ انتشار 2001