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Fourth Order Difference Equation for the Associated Classical Discrete Orthogonal Polynomials

Please always quote using this URN: urn:nbn:de:0297-zib-3419
  • 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.

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Metadaten
Author:Mama Foupouagnigni, Wolfram Koepf, Andre Ronveaux
Document Type:ZIB-Report
Date of first Publication:1998/01/05
Series (Serial Number):ZIB-Report (SC-97-72)
ZIB-Reportnumber:SC-97-72
Published in:Appeared in: J. Comput. Appl. Math. 92 (1998) pp. 103-108
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