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Duality for classical orthogonal polynomials

open access: yesJournal of Computational and Applied Mathematics, 2005
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.
openaire   +1 more source

Discrete Entropies of Chebyshev Polynomials

open access: yesMathematics
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
doaj   +1 more source

Linearization of Arbitrary products of classical orthogonal polynomials [PDF]

open access: bronze, 2000
Mahouton Norbert Hounkonnou   +2 more
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On the $$D_{\omega }$$-Classical Orthogonal Polynomials

open access: yesMediterranean Journal of Mathematics
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
openaire   +3 more sources

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