DIVIDED DIFFERENCE OPERATORS AND CLASSICAL ORTHOGONAL POLYNOMIALS

In an earlier paper J. Wilson and I introduced a divided difference operator that plays the same role for the 4φ3 orthogonal polynomials that the derivative does for Jacobi polynomials. Here this operator is used to give a new derivation of the connection coefficient result of L.J. Rogers.

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 1989, Vol.19 (1), p.33-37
Main Author: ASKEY, RICHARD
Format: Article
Language:English
Subjects:
Degrees of polynomials
Infinite products
Mathematical theorems
Polynomials
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Description
Summary:In an earlier paper J. Wilson and I introduced a divided difference operator that plays the same role for the 4φ3 orthogonal polynomials that the derivative does for Jacobi polynomials. Here this operator is used to give a new derivation of the connection coefficient result of L.J. Rogers.
ISSN:0035-7596
1945-3795
DOI:10.1216/RMJ-1989-19-1-33