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Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2004-01-01)
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2004-01-01)
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2014)
Matrix-Valued Gegenbauer-Type polynomials
(Springer, 2017-12)
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter ν> 0. The LDU-decomposition of the weight is ...