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ArticleOriginal scientific text

Title

On block recursions, Askey's sieved Jacobi polynomials and two related systems

Authors 1, 1, 2

Affiliations

  1. Department of Mathematics and Statistics, National University of Colombia, Bogotá, Colombia
  2. School of Mathematics, City University of Bogotá, Francisco José de Caldas, Bogotá, Colombia

Abstract

Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.

Keywords

ENG
continued fractions, moment functionals, Askey-Wilson and Rogers polynomials, Chebyshev, sieved orthogonal polynomials, orthogonal polynomials, Jacobi and ultraspherical polynomials

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Colloquium Mathematicum
1998/78/1
Export to PBN, Opens in new tab
Pages:
57-91
Main language of publication
English
Received
1997-10-07
Accepted
1998-01-22
Published
1998
Exact and natural sciences