Reduction of a Class of Fox-Wright PSI Functions for Certain Rational Parameters

Abstract

The Fox-Wright Psi function is a special case of Fox's H-function and a generalization of the generalized hypergeometric function. In the present paper we show that the Psi function reduces to a single generalized hypergeometric function when certain of its parameters are integers and to a finite sum of generalized hypergeometric functions when these parameters are rational numbers. Applications to the solution of algebraic trinomial equations and to a problem in information theory are provided. A connection with Meijer's G-function is also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1995
Accession Number
ADA465435

Entities

People

  • Allen R Miller
  • Ira S. Moskowitz

Organizations

  • George Washington University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Communication Channels
  • Equations
  • Hypergeometric Functions
  • Information Operations
  • Information Systems
  • Information Theory
  • Mathematics
  • Military Research
  • Number Theory
  • Numbers
  • Power Series
  • Rational Numbers
  • Real Numbers
  • Sequences
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Linear Algebra