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AAECC
2006
Springer
135views Algorithms» more  AAECC 2006»
13 years 11 months ago
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 singularit...
Thomas Cluzeau, Mark van Hoeij
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
14 years 2 months ago
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 fi...
Marko Petkovsek, Bruno Salvy
DM
2000
127views more  DM 2000»
13 years 10 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 11 months ago
Low Complexity Algorithms for Linear Recurrences
We consider two kinds of problems: the computation of polynomial and rational solutions of linear recurrences with coefficients that are polynomials with integer coefficients; ind...
Alin Bostan, Frédéric Chyzak, Bruno ...