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q-Hypergeometric solutions of q-difference equations

✍ Scribed by Sergei A. Abramov; Peter Paule; Marko Petkovšek

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
801 KB
Volume
180
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

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 ofx. Applications include construction of basic hypergeometric series solutions, and definite q-hypergeometric summation in closed form.

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