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
收藏
页码：263 / 272
页数：10
相关论文
共 50 条
12345