UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III

被引：10

作者：

Olde Daalhuis, A. B. ^{[1
,2
]}

机构：

[1] Univ Edinburgh, Maxwell Inst, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

ANALYSIS AND APPLICATIONS | 2010年 / 8卷 / 02期

关键词：

Hypergeometric function; large parameter; uniform asymptotic expansions; RECURSIONS;

D O I：

10.1142/S0219530510001588

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss asymptotic expansions for the Gauss hypergeometric function (2)F1(a + e(1)lambda, b + e(2)lambda; c + e(3)lambda; z), where e(j) = 0, +/- 1, as vertical bar lambda vertical bar -> infinity. We complete the results of two previous publications, extend the sectors of validity, and give more details on the computation of the coefficients.

引用

页码：199 / 210

页数：12

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