TY - GEN A1 - Foupouagnigni, Mama A1 - Koepf, Wolfram A1 - Ronveaux, Andre T1 - Fourth Order Difference Equation for the Associated Classical Discrete Orthogonal Polynomials N2 - We derive the fourth order difference equation satisfied by the associated of order $\;r\;$ of the classical orthogonal polynomials of a discrete variable.\\The coefficients of this equation are given in terms of the polynomials $\; \sigma\;$ and $\;\tau\;$ which appear in the discrete Pearson equation $\;\;\Delta(\sigma\;\rho)=\tau\;\rho\;\;$ defining the weight $\;\rho(x)\;$ of the classical discrete orthogonal polynomials. T3 - ZIB-Report - SC-97-72 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3419 ER - TY - GEN A1 - Böing, Harald A1 - Koepf, Wolfram T1 - Algorithms for q-hypergeometric Summation in Computer Algebra N2 - 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. T3 - ZIB-Report - SC-98-02 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3453 ER - TY - GEN A1 - Foupouagnigni, Mama A1 - Ronveaux, Andre A1 - Koepf, Wolfram T1 - Fourth-Order q-Difference Equation for the First Associated of the q-Classical Orthogonal Polynomials N2 - 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. T3 - ZIB-Report - SC-98-06 KW - q-Orthogonal polynomials KW - Fourth order q-difference equation Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3490 ER -