Results 71 to 80 of about 2,343 (153)
Linearly-invariant families and generalized Meixner–Pollaczek polynomials
Annales UMCS, Mathematica, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naraniecka, Iwona +2 more
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Inner products involving differences: the meixner—sobolev polynomials [PDF]
Journal of Difference Equations and Applications, 2000 31 pages, no figures.-- MSC2000 codes: 33C45, 33D45, 39A10, 39A70, 42C05. MR#: MR1752153 (2000m:33006) Zbl#: Zbl 0948.33004 In this paper, polynomials which are orthogonal with respect to the inner product $$\langle p,q\rangle_S= \sum infty_{s=0} p(s)q(s) {\mu \Gamma (\gamma+s) \over\Gamma(s+1) \Gamma (\gamma)}+ \lambda \sum infty_{s=0} \Delta p(s ...
Area, Iván +2 more
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Ordered Products, $W_{\infty}$-Algebra, and Two-Variable, Definite-Parity, Orthogonal Polynomials
, 1997 It has been shown that the Cartan subalgebra of $W_{\infty}$- algebra is the space of the two-variable, definite-parity polynomials. Explicit expressions of these polynomials, and their basic properties are presented.
Verçin, A.
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Deformed su(1,1) Algebra as a Model for Quantum Oscillators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su}(1,1) can be extended to representations of this deformed algebra su(1,1)_gamma.
Elchin I. Jafarov +2 more
doaj +1 more source
Appell polynomials and their relatives II. Boolean theory
, 2007 The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two ...
Anshelevich, Michael
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Asymptotics of Meixner polynomials and Christoffel–Darboux kernels [PDF]
Transactions of the Moscow Mathematical Society, 2013 Summary: We obtain the asymptotics of the classical Meixner polynomials \(M_n(x)\) (orthogonal with respect to a discrete measure supported at the nonnegative integer points) and the corresponding reproducing kernels (Christoffel-Darboux kernels) \(K_n(x,y)\) as \(n\) and the variable \(x\) tend to infinity under various relationships between their ...
Aptekarev, A. I., Tulyakov, D. N.
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On some applications of a symbolic representation of non-centered L\'evy processes
, 2013 By using a symbolic technique known in the literature as the classical umbral calculus, we characterize two classes of polynomials related to L\'evy processes: the Kailath-Segall and the time-space harmonic polynomials.
Di Nardo, E., Oliva, I.
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A toolbox for real orthogonal polynomials
SoftwareXThis paper presents an open-source, cross-platform toolbox for discrete orthogonal polynomials (DOPs), enabling their practical use in scientific computing and signal/image processing workflows.
Alaa M. Abdul-Hadi +7 more
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, 2010 A class of generalized coherent states with a new type of the identity resolution are constructed by replacing the labeling parameter zn/n! of the canonical coherent states by Meixner-Pollaczek polynomials with specific parameters.
Ali S T +12 more
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$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
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