Results 81 to 90 of about 2,343 (153)
The Combinatorics of Meixner Polynomials: Linearization Coefficients
European Journal of Combinatorics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Operator orderings and Meixner-Pollaczek polynomials [PDF]
Journal of Mathematical Physics, 2013 The aim of this paper is to give identities which are generalizations of the formulas given by Koornwinder [J. Math. Phys. 30, 767–769 (1989)]10.1063/1.528394 and Hamdi-Zeng [J. Math. Phys. 51, 043506 (2010)]10.1063/1.3372526. Our proofs are much simpler than and different from the previous investigations.
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Discrete semi-classical orthogonal polynomials: Generalized Meixner
Journal of Approximation Theory, 1986 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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Lie-algebraic discretization of differential equations
, 1995 A certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using $sl_2$-algebra based approach, (quasi)-
Smirnov, Yuri, Turbiner, Alexander
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Uniform Asymptotics of the Meixner Polynomials
, 2008 60 pages, 8 ...
Wang, X. -S., Wong, R.
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Spectral Analysis of Certain Schrödinger Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
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Orthogonal polynomials on a bi-lattice
, 2010 We investigate generalizations of the Charlier and the Meixner polynomials on the lattice N and on the shifted lattice N+1-\beta. We combine both lattices to obtain the bi-lattice N \cup (N+1-\beta) and show that the orthogonal polynomials on this bi ...
Smet, Christophe, Van Assche, Walter
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Meixner polynomials and nonvanishing holomorphic functions
Journal of Computational and Applied Mathematics, 2001 Let \(M_{t,\tau} (t>0,\tau\in (0,1))\) denote the class of all holomorphic functions \(f\) defined on the unit disc \(D\) = \(\{z:|z|
Kiepiela, Katarzyna +2 more
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Convolutions for orthogonal polynomials from Lie and quantum algebra representations
, 1996 The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and the Clebsch-Gordan decomposition leads to generalisations of the ...
Koelink, H. T., Van der Jeugt, J.
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Performance enhancement of high order Hahn polynomials using multithreading. [PDF]
PLoS One, 2023 Mahmmod BM +5 more
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