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An approach to ladder operators for the two-dimensional harmonic oscillatorAn approach to ladder operators for the two-dimensional harmonic oscillator
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2008)
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
Almost strict total positivity and a class of Hurwitz polynomials
(Elsevier B.V., 2005-02-01)
We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. ...
Orthogonal polynomials and Mobius transformations
(Springer, 2021-09-01)
Given an orthogonal polynomial sequence on the real line, another sequence of polynomials can be found by composing them with a Mobius transformation. In this work, we study the properties of such Mobius-transformed ...
Función de onda hidrogenoide: nueva fórmula para una vieja integral
(Revista Mexicana de Física, 2009)
Distances between critical points and midpoints of zeros of hyperbolic polynomials
(Gauthier-villars/editions Elsevier, 2010-03-01)
Let p(x) be a polynomial of degree n with only real zeros x(1) <= x(2) <= ... <= x(n). Consider their midpoints z(k) = (x(k) + x(k+1))/2 and the zeros xi(1) <= xi(2) <= ... <= xi(n-1) of p'(z). Motivated by a question posed ...
A reduced order state space model for aeroelastic analysis in time domain
(2017-02-01)
The objective of this paper is to describe a new method for modeling aeroelastic system in time domain based on a modification of the Laguerre Polynomials to represent complex quantities. These polynomials are used to ...
Weak-Type Inequality for Conjugate First Order Riesz-Laguerre Transforms
(Birkhauser Boston Inc, 2011-10)
In this paper we introduce a conjugate class of Riesz transforms in the context of Laguerre polynomials. We prove their weak-type (1,1) and Lp, 1
Distances between critical points and midpoints of zeros of hyperbolic polynomials
(Gauthier-villars/editions Elsevier, 2014)