Geodesic
On block recursions, Askey's sieved Jacobi polynomials and two related systems
Colloquium Mathematicum, Tome 78 (1998) no. 1, pp. 57-91.

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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.
DOI : 10.4064/cm-78-1-57-91
Keywords: continued fractions, moment functionals, Askey-Wilson and Rogers polynomials, Chebyshev, sieved orthogonal polynomials, orthogonal polynomials, Jacobi and ultraspherical polynomials

Bernarda Aldana 1 ; Jairo Charris 1 ; Oriol Mora-Valbuena 1

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Bernarda Aldana; Jairo Charris; Oriol Mora-Valbuena. On block recursions, Askey's sieved Jacobi polynomials and two related systems. Colloquium Mathematicum, Tome 78 (1998) no. 1, pp. 57-91. doi : 10.4064/cm-78-1-57-91. http://geodesic.mathdoc.fr/articles/10.4064/cm-78-1-57-91/

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