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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 ...
Complementary Romanovski–Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions
(2020-03-01)
In a recent paper (Martínez-Finkelshtein et al. in Proc Am Math Soc 147:2625–2640, 2019) some interesting results were obtained concerning complementary Romanovski–Routh polynomials, a class of orthogonal polynomials on ...
New steps on Sobolev orthogonality in two variables
(Elsevier B.V., 2014)
Orthogonal polynomials associated with complementary chain sequences
(2016-07-27)
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
Ocean wave ensemble prediction: a review and a case studyPrevisão de Ondas Oceânicas por Ensemble: Uma Revisão e Estudo de Caso
(Instituto de Geociências /Universidade Federal do Rio Grande do Sul, 2006)
SYMMETRICAL ORTHOGONAL POLYNOMIALS AND THE ASSOCIATED ORTHOGONAL L-POLYNOMIALS
(Amer Mathematical Soc, 2014)
Convolutions and zeros of orthogonal polynomials
(Elsevier B.V., 2011-07-01)
In an attempt to answer a long standing open question of Al-Salam we generate various beautiful formulae for convolutions of orthogonal polynomials similar toU(n)(x) = Sigma(n)(k=0) P(k)(x)P(n-k)(x).where U(n)(x) are the ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
On linear combinations of L-orthogonal polynomials associated with distributions belonging to symmetric classes
(Elsevier B.V., 2005-07-01)
This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...