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On properties of q-difference equations

โœ Scribed by Zheng Xiumin; Chen Zongxuan

Book ID
114192331
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
208 KB
Volume
32
Category
Article
ISSN
0252-9602

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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 for