Reduction of a Class of Fox-Wright PSI Functions for Certain Rational Parameters
GEORGE WASHINGTON UNIV WASHINGTON DC DEPT OF MATHEMATICS
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The Fox-Wright Psi function is a special case of Foxs 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 Meijers G-function is also discussed.
- Numerical Mathematics