Accession Number:

AD0706390

Title:

INEQUALITIES FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS,

Descriptive Note:

Corporate Author:

MIDWEST RESEARCH INST KANSAS CITY MO

Personal Author(s):

Report Date:

1970-03-01

Pagination or Media Count:

40.0

Abstract:

It is shown that some well-known Pade approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable. With the aid of the beta and Laplace transforms, two-sided inequalities are derived for the pFq generalized hypergeometric function, p q or p q 1, and for a particular form of Meijers G-function. Several examples are developed. These include upper and lower bounds for certain elementary functions, complete elliptic integrals, the incomplete gamma function, modified Bessel functions and parabolic cylinder functions. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE