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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 ...
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 ...
Tchakaloff’s theorem and k-integral polynomials in Banach spaces
(American Mathematical Society, 2017-08)
Tchakaloff’s theorem gives a quadrature formula for polynomials of a given degree with respect to a compactly supported positive measure which is absolutely continuous with respect to Lebesgue measure. We study the validity ...
Dynamical and algebraic analysis of planar polynomial vector fields linked to orthogonal polynomials
(Southwest Jiaotong University, 2020-08)
In the present work, our goal is to establish a study of some families of quadratic polynomial vector fields connected to orthogonal polynomials that relate, via two different points of view, the qualitative and the algebraic ...
L-orthogonal polynomials associated with related measures
(Elsevier B.V., 2010-10-01)
A positive measure psi defined on [a, b] such that its moments mu(n) = integral(b)(a)t(n) d psi(t) exist for n = 0, +/-1, +/-2. can be called a strong positive measure on [a, b] When 0 <= a < b <= infinity the sequence of ...
L-orthogonal polynomials associated with related measures
(Elsevier B.V., 2014)
A Hahn-Banach Theorem for Integral Polynomials
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 1997-11)
New Classes of Degenerate Unified Polynomials
(SwitzerlandSwitzerland, 2023)
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-08-01)
Denote by x(n,k)(M,N)(alpha), k = 1, ..., n, the zeros of the Laguerre-Sobolev-type polynomials L(n)((alpha, M, N))(x) orthogonal with respect to the inner product< p, q > = 1/Gamma(alpha + 1) integral(infinity)(0)p(x)q( ...
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-08-01)
Denote by x(n,k)(M,N)(alpha), k = 1, ..., n, the zeros of the Laguerre-Sobolev-type polynomials L(n)((alpha, M, N))(x) orthogonal with respect to the inner product< p, q > = 1/Gamma(alpha + 1) integral(infinity)(0)p(x)q( ...