ASYMPTOTICS OF BASIC BESSEL-FUNCTIONS AND Q-LAGUERRE POLYNOMIALS

被引：11

作者：

CHEN, Y

ISMAIL, MEH

MUTTALIB, KA

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT MATH,LONDON SW7 2BZ,ENGLAND

[2] UNIV S FLORIDA,DEPT MATH,TAMPA,FL 33620

[3] UNIV FLORIDA,DEPT PHYS,GAINESVILLE,FL 32611

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 54卷 / 03期

基金：

美国国家科学基金会;

关键词：

Q-LAGUERRE POLYNOMIALS; COMPLETE ASYMPTOTIC EXPANSIONS; Q-BESSEL FUNCTIONS; STIELTJES-WIGERT POLYNOMIALS;

D O I：

10.1016/0377-0427(92)00128-V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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).

引用

页码：263 / 272

页数：10

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