ASYMPTOTICS OF BASIC BESSEL-FUNCTIONS AND Q-LAGUERRE POLYNOMIALS

[摘要] 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).

[发布日期] 1994-10-20

[关键词] Q-LAGUERRE POLYNOMIALS;COMPLETE ASYMPTOTIC EXPANSIONS;Q-BESSEL FUNCTIONS;STIELTJES-WIGERT POLYNOMIALS