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.
and the resulting q-differential equations can be computed algorithmically.
Citation
@article{urn:nbn:de:hebis:34-2007052118241,
author={Koepf, Wolfram and Rajković, Predrag M. and Marinković, Sladjana D.},
title={Functions satisfying holonomic q-differential equations},
year={2007}
}
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<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2007-05-21T09:15:17Z 2007-05-21T09:15:17Z 2007-05-21T09:15:17Z urn:nbn:de:hebis:34-2007052118241 http://hdl.handle.net/123456789/2007052118241 125309 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ q-derivative q-differential equation algorithm algebra of q-holonomic funcitions 510 Functions satisfying holonomic q-differential equations Preprint 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. open access Koepf, Wolfram Rajković, Predrag M. Marinković, Sladjana D. 39A13 33D15 </resource>
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