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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)
SZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONS
(Amer Mathematical Soc, 2012-10-01)
We study polynomials which satisfy the same recurrence relation as the Szego polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal ...
SZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONS
(Amer Mathematical Soc, 2012-10-01)
We study polynomials which satisfy the same recurrence relation as the Szego polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal ...
Para-orthogonal polynomials from constant Verblunsky coefficients
(Elsevier B.V., 2015-06-15)
Orthogonal polynomials on the unit circle associated with constant Verblunsky coefficients are also known as Geronimus polynomials. We consider the properties of some special sequences of para-orthogonal polynomials that ...
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros
(2021-08-01)
This paper deals with orthogonal polynomials and associated connection coefficients with respect to a class of Sobolev inner products on the unit circle. Under certain conditions on the parameters in the inner product it ...
Connection coefficients and zeros of orthogonal polynomials
(Elsevier B.V., 2001-08-01)
We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and ...
Connection coefficients and zeros of orthogonal polynomials
(Elsevier B.V., 2001-08-01)
We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and ...
Szego{double acute} and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations
(2012-08-03)
We study polynomials which satisfy the same recurrence relation as the Szego{double acute} polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. ...