Finding all hypergeometric solutions of linear differential equations | Zendy

Marko Petkovšek | Zendy; Bruno Salvy | Zendy

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Finding all hypergeometric solutions of linear differential equations

Author(s) -

Marko Petkovšek,

Bruno Salvy

Publication year - 1993

Publication title -

hal (le centre pour la communication scientifique directe)

Language(s) - English

Resource type - Conference proceedings

ISBN - 0-89791-604-2

DOI - 10.1145/164081.164087

Subject(s) - citation , hypergeometric distribution , computer science , differential (mechanical device) , algebraic number , mathematics , algebra over a field , information retrieval , world wide web , pure mathematics , mathematical analysis , engineering , aerospace engineering

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. Petkovsek'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.

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