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Finding All Bessel Type Solutions for Linear Differential Equations with Rational Function Coefficients by Mark van Hoeij; Quan Yuan is a scholarly article available to read on EtoBox.

A linear differential equation with rational function coefficients has a Bessel type solution when it is solvable in terms of Bν (f ), Bν+1(f ). For second order equations, with rational function coefficients, f must be a rational function or the square root of a rational function. An algorithm was given by Debeerst, van Hoeij, and Koepf, that can compute Bessel type solutions if and only if f is a rational function. In this paper we extend this work to the square root case, resulting in a complete algorithm to find all Bessel type solutions.

Author

Mark van Hoeij; Quan Yuan

Publisher

ACM

Published

2010

Language

EN