Finding all Hypergeometric Solutions of Linear Differential Equations

Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to find all hypergeometric sequence solutions of linear recurrences, and we describe a program to find all hypergeometric functions that solve a linear differential equation.

• Type: Conference
• Year: 1993
• Where: ISSAC
• Authors: Marko Petkovsek, Bruno Salvy
• Keywords: Fixed Rational Function, Hypergeometric Sequence, Hypergeometric Sequence Solutions, ISSAC 1993, Mathematics