BOUNDS FOR THE APPELL FUNCTION F2

被引：7

作者：

MOSES, HE ^{[1
]}

PROSSER, RT ^{[1
]}

机构：

[1] DARTMOUTH COLL,DEPT MATH,HANOVER,NH 03755

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 173卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exact matrix elements for certain second order radiation processes in hydrogenic atoms can all be expressed in terms of a certain generalized hypergeometric function of two variables. In this paper we obtain bounds for this function as the two variables tend to the singular point z = 1 from the upper half plane. The bounds are shown to he uniform in the hypergeometric parameters in the ranges of interest, and may he used to bound the exact matrix elements in both the non-relativistic and relativistic cases. © 1993 Academic Press, Inc.

引用

页码：390 / 410

页数：21

共 8 条

[1]

[Anonymous], 1953, HIGHER TRANSCENDENTA

[2]

Appell P., 1880, CR HEBD ACAD SCI, V90, P296

[3]

Exton H, 1976, MULTIPLE HYPERGEOMET

[4]

FELDHEIM E, 1941, ANN SCUOLA NORM-SCI, V10, P17