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Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
(2011-11-01)
In this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect ...
Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
(2011-11-01)
In this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect ...
MONOTONICITY AND ASYMPTOTICS OF ZEROS OF LAGUERRE-SOBOLEV-TYPE ORTHOGONAL POLYNOMIALS OF HIGHER ORDER DERIVATIVES
(Amer Mathematical SocProvidenceEUA, 2011)
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( ...
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2014)
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
Propiedades de algunos sistemas de polinomios ortogonales Sobolev en varias variables
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-02-01)
En este trabajo estudiamos algunas propiedades algebraicas y analíticas de los polinomios ortogonales en varias variables reales con respecto a un producto interno Sobolev continuo-discreto. Consideramos los polinomios ...
A note on monotonicity of zeros of generalized Hermite-Sobolev-type orthogonal polynomials
(Taylor & Francis LtdAbingdonInglaterra, 2010)