71 search results - page 1 / 15 » Hypergeometric series solutions of linear operator equations |
AMC
2010
12 years 12 months ago
2010
DM
2000
13 years 4 months ago
2000
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 ...
ISSAC
1993
Springer
13 years 9 months ago
1993
Springer
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...
AMC
2007
13 years 5 months ago
2007
A new summation formula that is connected to the generalized hypergeometric function is presented. The formula can be applied in the Taylor series method for the solution of ordin...
AAECC
2006
Springer
13 years 4 months ago
2006
Springer
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...