ON ASYMPTOTICS OF JACOBI-POLYNOMIALS

被引：41

作者：

CHEN, LC ^{[1
]}

ISMAIL, MEH ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 05期

关键词：

JACOBI POLYNOMIALS; DARBOUXS METHOD; STRONG ASYMPTOTICS;

D O I：

10.1137/0522092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behavior of Jacobi polynomials P(n)-alpha + an,beta + bn(x) and Laguerre polynomials L(n)-alpha + an(b + nx) is found when n --> infinity and a, b, alpha, beta are real constants, a > -1, b > -1, and x is a real variable.

引用

页码：1442 / 1449

页数：8

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