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A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2005-03-01)
This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the ...
Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2014)
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Two variable Freud orthogonal polynomials and matrix Painleve-type difference equations
(Taylor & Francis Ltd, 2022-09-10)
We study bivariate orthogonal polynomials associated with Freud weight functions depending on real parameters. We analyse relations between the matrix coefficients of the three term relations for the orthonormal polynomials ...
Monotonicity of the zeros of orthogonal polynomials through related measures
(Elsevier B.V., 2005-07-15)
Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the ...
Monotonicity of the zeros of orthogonal polynomials through related measures
(Elsevier B.V., 2005-07-15)
Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the ...
Monotonicity of the zeros of orthogonal polynomials through related measures
(Elsevier B.V., 2014)
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...