Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials [PDF]
Wolfram Koepf, Mohammad Masjed‐Jamei
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Classical and Sobolev Orthogonality of the Nonclassical Jacobi Polynomials with Parameters {\alpha}={\beta}=-1 [PDF]
Andrea Bruder, Lance L. Littlejohn
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On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials [PDF]
Sergey M. Zagorodnyuk
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Duality for classical orthogonal polynomials
Some aspects of duality for the classical orthogonal polynomials named after Laguerre and Jacobi are explained. The Laguerre polynomials form a limit case of the discrete Meixner polynomials. A certain integral identity involving Laguerre polynomials can be obtained as a limiting case of an identity involving Meixner polynomials.
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Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials [PDF]
Stanisław Lewanowicz
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A correlation function for the classical orthogonal polynomials [PDF]
Enno Diekema
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Discrete Entropies of Chebyshev Polynomials
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu +2 more
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Linearization of Arbitrary products of classical orthogonal polynomials [PDF]
Mahouton Norbert Hounkonnou +2 more
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On the $$D_{\omega }$$-Classical Orthogonal Polynomials
We wish to investigate the $D_{\omega}$-classical orthogonal polynomials, where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we consider the problem of finding all sequences of orthogonal polynomials such that their $D_{\omega}$-derivatives are also orthogonal polynomials. To solve this problem we adopt a different approach to
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Mixed series by classical orthogonal polynomials [PDF]
И. И. Шарапудинов
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