Results 61 to 70 of about 57,584 (243)
Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept
Mathematics, 2021 This paper considers the robust stabilization problem for interval plants with parametric uncertainty and uncertain time-delay based on the value set characterization of closed-loop control systems and the zero exclusion principle.
Pedro Zamora +4 more
doaj +1 more source
On Spectral Vectorial Differential Equation of Generalized Hermite Polynomials
Axioms, 2022 In this paper, we first give some results on monic generalized Hermite polynomials (GHP) {Hn(μ)(x)}n≥0, orthogonal with respect to the positive weight |x|2μe−x2,μ>−12,x∈R, which will lead to the formulation of the second-order spectralvectorial ...
Mohamed Jalel Atia, Majed Benabdallah
doaj +1 more source
On the functional equation for classical orthogonal polynomials on lattices [PDF]
Journal of Mathematical Analysis and Applications, 2021 K. Castillo, D. Mbouna, J. Petronilho
semanticscholar +1 more source
On the zeros of associated polynomials of classical orthogonal polynomials
Differential and Integral Equations, 1993 Let \(r_{n-1}\) be the associated polynomial of a classical sequence \((p_ n)_{n\geq 0}\) of orthogonal polynomials. By a recent conjecture of A. Ronvaux, the zeros \(x_ \nu\) \((\nu=1,\dots,n)\), \(x_ \nu'\) and \(\xi_ \nu\) \((\nu=1,\dots,n-1)\) of the polynomials \(p_ n\), \(p_ n'\), and \(r_{n-1}\) respectively are related in decreasing order by \[
Elbert, Árpád, Laforgia, Andrea
openaire +3 more sources
Zero distribution of sequences of classical orthogonal polynomials
Abstract and Applied Analysis, 2003 We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.
Plamen Simeonov
doaj +1 more source
A Unified Approach to Computing the Zeros of Orthogonal Polynomials
Journal of New Theory, 2023 We present a unified approach to calculating the zeros of the classical orthogonal polynomials and discuss the electrostatic interpretation and its connection to the energy minimization problem. This approach works for the generalized Bessel polynomials,
Ridha Moussa, James Tipton
doaj +1 more source
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
Bulletin of Mathematical SciencesClassical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation.
Misael E. Marriaga +3 more
doaj +1 more source
A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa +2 more
doaj +1 more source
A note on semi-classical orthogonal polynomials [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1996 The author studies the characterization of semi-classical monic orthogonal polynomial sequences (MOPS). Orthogonality is defined with respect to a linear functional on the linear space of polynomials with real coefficients and the main results are twofold: (1) full characterization of classical MOPS (correction on \textit{F. Marcellán, A.
openaire +3 more sources
Tridiagonal Operators and Zeros of Polynomials in Two Variables
Abstract and Applied Analysis, 2016 The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method.
Chrysi G. Kokologiannaki +2 more
doaj +1 more source