Results 281 to 290 of about 128,877 (315)

Hermite Orthogonal Polynomials of a Discrete Variable

Journal of Computational Methods in Sciences and Engineering, 2002
The Hermite orthogonal polynomials on a discrete point set are constructed. A discrete point set, a weight function and normalizing factors are obtained, and the orthogonality of them is proved. The problems of an approximation of functions by one, two and three variables with the help of interpolation of the Hermite series constructed on the ...
I.P. Streltsov, O.I. Streltsova
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Discrete (Legendre) orthogonal polynomials—a survey

International Journal for Numerical Methods in Engineering, 1974
AbstractThe discrete (Legendre) orthogonal polynomials, (DLOP's) are useful for approximation purposes. This set of mth degree polynomials {Pm(K, N)} are orthogonal with unity weight over a uniform discrete interval and are completely determined by the normalization Pm(O, N) = 1.
C. P. Neuman, D. I. Schonbach
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Discrete orthogonal matrix polynomials

Analysis Mathematica, 2009
At the present time, the theory of orthogonal matrix polynomials is an active area of mathematics and exhibits a promising future. However, the discrete case has been completely forgotten. In this note we introduce the notion of discrete orthogonal matrix polynomials, and show some algebraic properties.
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THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES

, 2010
In this paper, we develop the Riemann–Hilbert approach to study the global asymptotics of discrete orthogonal polynomials with infinite nodes. We illustrate our method by concentrating on the Charlier polynomials .
Chunhua Ou, R. Wong
semanticscholar   +1 more source

LETTER TO THE EDITOR: Results for some inversion problems for classical continuous and discrete orthogonal polynomials

, 1997
Explicit expressions for the coefficients in the expansion of classical discrete orthogonal polynomials (Charlier, Meixner, Krawtchouck, Hahn, Hahn - Eberlein) into the falling factorial basis are given.
A. Zarzo, I. Area, E. Godoy, A. Ronveaux
semanticscholar   +1 more source

Wavefront fitting with discrete orthogonal polynomials in a unit radius circle

, 1990
Zernike polynomials have been used for some time to fit wavefront deformation measurements to a two-dimensional polynomial. Their orthogonality properties make them ideal for this kind of application. The typical procedure consists of first obtaining the
D. Malacara-hernández, M. Carpio-Valadez, J. Sánchez-Mondragón   +2 more
semanticscholar   +1 more source

Some discrete distributions associated with orthogonal polynomials

Journal of Applied Probability, 1988
Five distributions on the non-negative integers are given which use the orthogonal polynomials of Hermite, Legendre, Laguerre and Chebyshev.
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Discrete Orthogonal Polynomials

Encyclopedia of Special Functions: The Askey-Bateman Project, 2020
J. Baik, T. Kriecherbauer, -R McLaughlin, P. D. Miller   +3 more
semanticscholar   +1 more source

Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable

2020
The classical orthogonal polynomials of discrete and q-discrete orthogonal polynomials are introduced from their difference and q-difference equations. Some structure formulas are proved for the Charlier and the Al-Salam Carlitz polynomials from their generating functions.
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A discrete orthogonal polynomials approach for coupled systems of nonlinear fractional order integro-differential equations

Tbilisi Mathematical Journal, 2019
L. Moradi, F. Mohammadi, D. Conte
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