q-Hypergeometric solutions of q-difference equations
| Author(s) : | Peter Paule Sergei A. Abramov, |
| Publisher : | N/A |
| Publication Date : | 1998 |
| ISSN : | N/A |
| Abstract : | We present algorithm qHyper for finding all solutions y(x) of a linear homogeneous q-difference equation, such that y(qx) = r(x)y(x) where r(x) is a rational function of x. Applications include construction of basic hypergeometric series solutions, and definite q-hypergeometric summation in closed form., |