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On the differential-difference properties of the extended Jacobi polynomials


Author: S. Lewanowicz
Journal: Math. Comp. 44 (1985), 435-441
MSC: Primary 33A30
DOI: https://doi.org/10.1090/S0025-5718-1985-0777275-2
MathSciNet review: 777275
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Abstract: We discuss differential-difference properties of the extended Jacobi polynomials

$\displaystyle {P_n}(x){ = _{p + 2}}{F_q}( - n,n + \lambda ,{a_p};{b_q};x)\quad (n = 0,1, \ldots ).$

The point of departure is a corrected and reformulated version of a differential-difference equation satisfied by the polynomials $ {P_n}(x)$, which was derived by Wimp (Math. Comp., v. 29, 1975, pp. 577-581).

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DOI: https://doi.org/10.1090/S0025-5718-1985-0777275-2
Article copyright: © Copyright 1985 American Mathematical Society