Accession Number:

ADA280374

Title:

Asymptotic Expansions for a Class of Hypergeometric Functions

Descriptive Note:

In-House rept.

Corporate Author:

ROME LAB HANSCOM AFB MA

Personal Author(s):

Report Date:

1992-08-01

Pagination or Media Count:

36.0

Abstract:

The usual power series representations for hypergeometric functions in two variables have a limited range of validity. In particular, they are of little use when the magnitude of one of the variables becomes very large. Using a Barnes-type integral representation and the concept of analytic continuation, the region of utility is extended to the desired domain. The poles that occur in the Barnes-type integral are assumed to be simple. Thus, explicit asymptotic expansions are obtained for each of the fourteen hypergeometric functions that belong to this class. Hypergeometric functions, Functions with a large argument, Functions of two variables, Contour integration, Power series expansions.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE