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Date
2007-05-21
Author
Koepf, WolframRajković, Predrag M.Marinković, Sladjana D.
Subject
510  Mathematics 
URI
urn:nbn:de:hebis:34-2007052118241
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Preprint

Functions satisfying holonomic q-differential equations

Abstract
  • 🇬🇧
In a similar manner as in some previous papers, where explicit algorithms for finding the differential equations satisfied by holonomic functions were given, in this paper we deal with the space of the q-holonomic functions which are the solutions of linear q-differential equations with polynomial coefficients. The sum, product and the composition with power functions of q-holonomic functions are also q-holonomic
and the resulting q-differential equations can be computed algorithmically.
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