Name: Differential-difference properties of hypergeometric polynomials
Creator: Jet Wimp
Keywords: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), General theory of functional equations and inequalities, Classical hypergeometric functions, \({}_2F_1\), 4. Education, 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975 English Publisher:American Mathematical Society (AMS)Journal:Mathematics of Computation, volume 29, pages 577-581 (issn: 0025-5718, eissn: 1088-6842,

Authors: Jet Wimp;

doi: 10.1090/s0025-5718-1975-0440085-3 , 10.2307/2005578

Differential-difference properties of hypergeometric polynomials

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Abstract

We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), General theory of functional equations and inequalities, Classical hypergeometric functions, \({}_2F_1\)

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