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REDUCE Package for the Indefinite and Definite Summation of q-hypergeometric Terms

Please always quote using this URN: urn:nbn:de:0297-zib-5460
  • This package is an implementation of the $q$-analogues of Gosper's and Zeilberger's algorithm for indefinite, and definite summation of $q$-hypergeometric terms, respectively. An expression $a_k$ is called a {\sl $q$-hypergeometric term}, if $a_{k}/a_{k-1}$ is a rational function with respect to $q^k$. Most $q$-terms are based on the {\sl $q$-shifted factorial} or {\sl qpochhammer}. Other typical $q$-hypergeometric terms are ratios of products of powers, $q$-factorials, $q$-binomial coefficients, and $q$-shifted factorials that are integer-linear in their arguments.

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Metadaten
Author:Harald Böing, Wolfram Koepf
Document Type:ZIB-Report
Date of first Publication:1997/05/16
Series (Serial Number):ZIB-Report (TR-97-04)
ZIB-Reportnumber:TR-97-04
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