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Title

The identification problem for transcendental functions
Author

Wolfram Koepf
Organization: Universitšt Kassel
Department: AG Computational Mathematics
URL: http://www.mathematik.uni-kassel.de/~koepf/
Journal / Anthology

arXiv:math.CA/9603215
Year: 1996
Description

In this article algorithmic methods are presented that have essentially been introduced into computer algebra systems like Mathematica within the last decade. The main ideas are due to Stanley and Zeilberger. Some of them had already been discovered in the last century by Beke, but because of their complexity the underlying algorithms have fallen into oblivion. We combined these ideas, and added a factorization algorithm in noncommutative rings (Melenk-Koepf) leading to a solution of the identification problem for a large class of transcendental functions. We present implementations of these algorithms in computer algebra systems.
Subjects

*Mathematics > Calculus and Analysis > Differential Equations
*Mathematics > Calculus and Analysis > Special Functions
URL

http://www.arxiv.org/abs/math.CA/9603215