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On the Orthogonality of Classical Orthogonal Polynomials

Integral Transforms and Special Functions, 2003
We consider the orthogonality of rational functions W n ( s ) as the Laplace transform images of a set of orthoexponential functions, obtained from the Jacobi polynomials, and as the Laplace transform images of the Laguerre polynomials. We prove that the orthogonality of the Jacobi and the Laguerre polynomials is induced by the orthogonality of the ...
Slobodan TriČkoviĆ, Miomir StankoviĆ
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Binomial-Weighted Orthogonal Polynomials

Journal of the ACM, 1967
This paper discusses a set of polynomials, {φ r ( s )}, orthogonal over a discrete range, with binomial distribution, b ( s ; n , p ), as the weighting function.
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Orthogonal Polynomial Fitting

Biometrika, 1953
Wishart, John, Metakides, Theocharis
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Multiple orthogonal polynomials

Journal of Computational and Applied Mathematics, 1998
A I Aptekarev
exaly  

The relation of the d-orthogonal polynomials to the Appell polynomials

Journal of Computational and Applied Mathematics, 1996
Khalfa Douak
exaly  

Orthogonal polynomials, associated polynomials and functions of the second kind

Journal of Computational and Applied Mathematics, 1991
Walter Van Assche
exaly  

Some discrete multiple orthogonal polynomials

Journal of Computational and Applied Mathematics, 2003
J Arvesú, Walter Van Assche
exaly  

Quasi-orthogonality with applications to some families of classical orthogonal polynomials

Applied Numerical Mathematics, 2004
C Brezinski, Michela Redivo-Zaglia
exaly  

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