Analytically Continued Hypergeometric Expression of the Incomplete Beta Function

Authors

Jack C. Straton, Portland State UniversityFollow

Published In

Results in Mathematics

Document Type

Post-Print

Publication Date

2002

Subjects

Beta functions, Hypergeometric functions, Stieltjes transform, Definite integrals

Abstract

The Incomplete Beta Function is rewritten as a Hypergeometric Function that is the analytic continuation of the conventional form, a generalization of the finite series, which simpifies the Stieltjes transform of powers of a monomial divided by powers of a binomial.

Description

This is the accepted version of an article appearing in Results in Mathematics May 2002, Volume 41, Issue 3, pp 394-395. The article is available online at:http://dx.doi.org/10.1007/BF03322781

DOI

10.1007/BF03322781

Persistent Identifier

http://archives.pdx.edu/ds/psu/16687

Citation Details

Straton, Jack C., "Analytically Continued Hypergeometric Expression of the Incomplete Beta Function" (2002). Physics Faculty Publications and Presentations. 248.
http://archives.pdx.edu/ds/psu/16687