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qHypergeometric Solutions of qDi#erence Equations
 

Summary: q­Hypergeometric Solutions
of q­Di#erence Equations
Sergei A. Abramov #
Computer Center of
the Russian Academy of Science,
Vavilova 40, Moscow 117967, Russia.
abramov@ccas.ru, sabramov@cs.msu.su
Peter Paule +
Institut f˜ur Mathematik, RISC,
Johannes Kepler University,
A--4040 Linz, Austria.
peter.paule@risc.uni­linz.ac.at
Marko PetkovŸsek #
Department of Mathematics and Mechanics,
University of Ljubljana,
Jadranska 19, 1111 Ljubljana, Slovenia.
marko.petkovsek@fmf.uni­lj.si
Abstract
We present algorithm qHyper for finding all solutions y(x) of a linear ho­
mogeneous q­di#erence equation, such that y(qx) = r(x)y(x) where r(x) is a

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences