Laguerre-Freud equations for three families of hypergeometric discrete orthogonal polynomials

被引：2
|
作者：
Fernandez-Irisarri, Itsaso [1 ]
Manas, Manuel [1 ,2 ]
机构：
[1] Univ Complutense Madrid, Dept Fis Teor, Madrid, Spain
[2] Inst Ciencias Matemat ICMAT, Madrid, Spain
来源：
STUDIES IN APPLIED MATHEMATICS | 2023年 / 151卷 / 02期
关键词：
banded matrices; discrete orthogonal polynomials; generalized hypergeometric series; Jacobi matrix; Laguerre-Freud equations; Pearson equations; semiclassical discrete orthogonal polynomials; recursion relations; RECURRENCE COEFFICIENTS; LAURENT POLYNOMIALS; UNIT-CIRCLE; TRANSFORMATIONS; KP;
D O I：
10.1111/sapm.12601
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre-Freud equations when the first moments of the weights are given by the F-1(2), F-2(2), and F-3(2) generalized hypergeometric series.
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页码：509 / 535
页数：27
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