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

Bernarda Aldana; Jairo Charris; Oriol Mora-Valbuena

Colloquium Mathematicae (1998)

- Volume: 78, Issue: 1, page 57-91
- ISSN: 0010-1354

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topAldana, Bernarda, Charris, Jairo, and Mora-Valbuena, Oriol. "On block recursions, Askey's sieved Jacobi polynomials and two related systems." Colloquium Mathematicae 78.1 (1998): 57-91. <http://eudml.org/doc/210606>.

@article{Aldana1998,

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.},

author = {Aldana, Bernarda, Charris, Jairo, Mora-Valbuena, Oriol},

journal = {Colloquium Mathematicae},

keywords = {continued fractions; moment functionals; Askey-Wilson and Rogers polynomials; Chebyshev; sieved orthogonal polynomials; orthogonal polynomials; Jacobi and ultraspherical polynomials; Askey-Wilson polynomials; orthogonality measures},

language = {eng},

number = {1},

pages = {57-91},

title = {On block recursions, Askey's sieved Jacobi polynomials and two related systems},

url = {http://eudml.org/doc/210606},

volume = {78},

year = {1998},

}

TY - JOUR

AU - Aldana, Bernarda

AU - Charris, Jairo

AU - Mora-Valbuena, Oriol

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

JO - Colloquium Mathematicae

PY - 1998

VL - 78

IS - 1

SP - 57

EP - 91

AB - 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.

LA - eng

KW - continued fractions; moment functionals; Askey-Wilson and Rogers polynomials; Chebyshev; sieved orthogonal polynomials; orthogonal polynomials; Jacobi and ultraspherical polynomials; Askey-Wilson polynomials; orthogonality measures

UR - http://eudml.org/doc/210606

ER -

## References

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