Results 21 to 30 of about 1,059,315 (385)
A Note on Bi-Orthogonal Polynomials and Functions
Fluids, 2020 The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations.
Clemente Cesarano
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Free-Fermion entanglement and orthogonal polynomials [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2019 We present a simple construction for a tridiagonal matrix T that commutes with the hopping matrix for the entanglement Hamiltonian of open finite free-Fermion chains associated with families of discrete orthogonal polynomials.
N. Crampé +2 more
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The Stenger conjectures and the A-stability of collocation Runge-Kutta methods
Journal of Inequalities and Applications, 2023 Stenger conjectures are claims about the location of the eigenvalues of matrices whose elements are certain integrals involving basic Lagrange interpolating polynomials supported on the zeros of orthogonal polynomials. In this paper, we show the validity
Rachid Ait-Haddou, Hoda Alselami
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On Differential Equations Associated with Perturbations of Orthogonal Polynomials on the Unit Circle
Mathematics, 2020 In this contribution, we propose an algorithm to compute holonomic second-order differential equations satisfied by some families of orthogonal polynomials.
Lino G. Garza +2 more
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Fast algorithms using orthogonal polynomials
Acta Numerica, 2020 We review recent advances in algorithms for quadrature, transforms, differential equations and singular integral equations using orthogonal polynomials.
S. Olver, R. Slevinsky, Alex Townsend
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Jointly orthogonal polynomials [PDF]
Journal of the London Mathematical Society, 2015 The theory of polynomials orthogonal with respect to one inner product is classical. We discuss the extension of this theory to multiple inner products. Examples include the Lam and Heine-Stieltjes polynomials.
Felder, Giovanni, Willwacher, Thomas
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Generalizations of orthogonal polynomials [PDF]
Journal of Computational and Applied Mathematics, 2005 AbstractWe give a survey of recent generalizations of orthogonal polynomials. That includes multidimensional (matrix and vector orthogonal polynomials) and multivariate versions, multipole (orthogonal rational functions) variants, and extensions of the orthogonality conditions (multiple orthogonality).
Bultheel, A. +4 more
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Comparing various sulfur sources for soybean grown on an acid Oxisol in Brazil
Agronomy Journal, Volume 114, Issue 6, Page 3420-3428, November/December 2022., 2022 Abstract A greenhouse experiment and a 2‐yr field trial were conducted to compare various S sources for soybean [Glycine max (L.) Merr.] grown on an acid Oxisol in Brazil. In the greenhouse, the sources included ammonium sulfate (AMS), monoammonium phosphate with a S ratio = 50:50 of AMS/elemental S (ES) – (AMS + ES), and ES + bentonite containing 90 ...
Eros A. B. Francisco +4 more
wiley +1 more source
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators [PDF]
, 2016 We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
S. Odake
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Journal of Approximation Theory, 1979 Abstract : Orthogonal polynomials satisfy a three term recurrence relation. The purpose of the paper is to give estimates for the orthogonal polynomials and the corresponding weight function provided that the coefficients in the recurrence formula behave in a prescribed manner. (Author)
Paul Nevai, Paul Nevai
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