Computing Hypergeometric Solutions of Linear Recurrence Equations

We describe a complete algorithm to compute the hypergeometric solutions of linear recurrence relations with rational function coefficients. We use the notion of finite singularities and avoid computations in splitting fields. An implementation is available in Maple 9.

• Type: Journal
• Year: 2006
• Where: AAECC
• Authors: Thomas Cluzeau, Mark van Hoeij
• Keywords: AAECC 2006, Algorithms, Hypergeometric Solutions, Linear Recurrence Relations, Rational Function Coefficients