Discrete semi-classical orthogonal polynomials: Generalized Meixner
The property of quasiorthogonality of the derivative of semi classical orthogonal is extended to the discrete case for the generalized Meixner polynomials. The positive weigth \(\rho\) (x) is solution of the difference equation A(x) \(\rho\) (x\(+1)-B(x) \rho (x)=0\) with A(x) and B(x) polynomials of degree respectively \(\alpha\) and \(\beta\).
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Q-extension of some symmetrical and semi-classical orthogonal polynomials of class one
Marwa Mejri
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A matrix Rodrigues formula for classical orthogonal polynomials in two variables [PDF]
A. Alvarez de Morales +3 more
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On classical orthogonal polynomials on bi-lattices [PDF]
K. Castillo, Galina Filipuk, D. Mbouna
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Recurrence Coefficients of a New Generalization of the Meixner Polynomials
We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the orthogonal polynomials are related ...
Galina Filipuk, Walter Van Assche
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On the orthogonality of q-classical polynomials of the Hahn class II [PDF]
R. Álvarez-Nodarse +2 more
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Symmetries for Casorati determinants of classical discrete orthogonal polynomials [PDF]
Antonio J. Durán
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The q -analog of the Rodrigues formula for symmetric q -Dunkl-classical orthogonal q -polynomials [PDF]
Jihad Souissi
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Classical Orthogonal Polynomials of a Discrete Variable
A. Nikiforov +2 more
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