Results 251 to 260 of about 58,842 (311)

Resonant Equations with Classical Orthogonal Polynomials. I

Ukrainian Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. Gavrilyuk, V. Makarov
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On bivariate classical orthogonal polynomials

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Marcellán, M. Marriaga, T. Pérez, M. Piñar   +3 more
semanticscholar   +3 more sources

Classical orthogonal polynomials

, 1985
There have been a number of definitions of the classical orthogonal polynomials, but each definition has left out some important orthogonal polynomials which have enough nice properties to justify including them in the category of classical orthogonal polynomials.
G. Andrews, R. Askey
semanticscholar   +2 more sources

The Classical Orthogonal Polynomials

, 2015
B. Doman
semanticscholar   +2 more sources

The classical orthogonal polynomials

, 2016
R. Beals, R. Wong
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Characterizations of Classical Orthogonal Polynomials

Results in Mathematics, 1993
In the literature several characterization theorems for the so-called classical orthogonal polynomials are known [cf. \textit{S. Bochner}, Math. Z. 29, 730-736 (1929), \textit{W. Hahn}, Math. Z. 39, 634-638 (1935), \textit{W. A. Al-Salam}, Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/OH (USA) 1989, NATO ASI Ser., Ser.
Kwon, K. H., Lee, J. K., Yoo, B. H.
openaire   +2 more sources

The H q -Classical Orthogonal Polynomials

Acta Applicandae Mathematica, 2002
The authors expose the readers to a certain class of \(q\)-analogues of classical orthogonal polynomials such as \(q\)-Laguerre, little \(q\)-Laguerre, big \(q\)-Jacobi polynomials, etc. by presenting the results for this class of polynomials, most of them well-known in the literature, in a coherent form.
Khériji, L., Maroni, P.
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On classical orthogonal polynomials

Constructive Approximation, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atakishiyev, N. M., Rahman, M., Suslov, S. K.   +2 more
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2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

, 2021
In this paper, we are interested in the following problem. We assume that is a monic 2-orthogonal polynomial sequence and we analyse the existence of a sequence of 2-orthogonal polynomials such that we have a decomposition This constitutes the ...
F. Marcellán, H. Chaggara, N. Ayadi
semanticscholar   +1 more source

Classical Orthogonal Polynomials

1991
Classical orthogonal Polynomials — the Jacobi, Laguerre and Hermite polynomials — form the simplest class of special functions. At the same time, the theory of these polynomials admits wide generalizations. By using the Rodrigues formula for the Jacobi, Laguerre and Hermite polynomials we can come to integral representations for other special functions
Arnold F. Nikiforov, Vasilii B. Uvarov, Sergei K. Suslov   +2 more
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