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Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
(2010-12-14)
Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi ...
Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
(2010-12-14)
Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi ...
Zeros of classical orthogonal polynomials of a discrete variable
(Amer Mathematical Soc, 2013-04-01)
In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman ...
New steps on Sobolev orthogonality in two variables
(Elsevier B.V., 2010-12-15)
Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial ...
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2004-01-01)
We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel ...
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2004-01-01)
We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel ...
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials
(Elsevier B.V., 2001-02-01)
It is well known and easy to see that the zeros of both the associated polynomial and the derivative of an orthogonal polynomial p(n)(x) interlace with the zeros of p(n)(x) itself. The natural question of how these zeros ...
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials
(Elsevier B.V., 2001-02-01)
It is well known and easy to see that the zeros of both the associated polynomial and the derivative of an orthogonal polynomial p(n)(x) interlace with the zeros of p(n)(x) itself. The natural question of how these zeros ...
SYMMETRICAL ORTHOGONAL POLYNOMIALS AND THE ASSOCIATED ORTHOGONAL L-POLYNOMIALS
(Amer Mathematical Soc, 1995-10-01)
We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained Finally as an application, we derive ...
Symmetric orthogonal polynomials and the associated orthogonal L-polynomials
(1995-01-01)
We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive ...