@misc{BoeingKoepf1998, author = {B{\"o}ing, Harald and Koepf, Wolfram}, title = {Algorithms for q-hypergeometric Summation in Computer Algebra}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3453}, number = {SC-98-02}, year = {1998}, abstract = {In this paper we present a short description of \$q\$-analogues of Gosper's, Zeilberger's, Petkov\v{s}ek's and related algorithms. Furthermore we introduce our corresponding MAPLE implementations and show how they can be applied to prove or even derive identities associated with \$q\$-series.}, language = {en} } @misc{FoupouagnigniRonveauxKoepf1998, author = {Foupouagnigni, Mama and Ronveaux, Andre and Koepf, Wolfram}, title = {Fourth-Order q-Difference Equation for the First Associated of the q-Classical Orthogonal Polynomials}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3490}, number = {SC-98-06}, year = {1998}, abstract = {We derive the fourth order \$q\$-difference equation satisfied by the first associated of the \$q\$-classical orthogonal polynomials. The coefficients of this equation are given in terms of the polynomials \$\; \sigma\;\$ and \$\;\tau\;\$ which appear in the \$q\$-Pearson difference equation \$\;\; D_q(\sigma\,\rho)=\tau\,\rho\;\$ defining the weight \$\rho\$ of the \$q\$-classical orthogonal polynomials inside the \$q\$-Hahn tableau.}, language = {en} }