Results 41 to 50 of about 2,343 (153)
Characterization of the cubic exponential families by orthogonality of polynomials [PDF]
This paper introduces a notion of 2-orthogonality for a sequence of polynomials to give extended versions of the Meixner and Feinsilver characterization results based on orthogonal polynomials.
Hassairi, Abdelhamid, Zarai, Mohammed
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Meixner–Pollaczek polynomials and the Heisenberg algebra [PDF]
An alternative proof is given for the connection between a system of continuous Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was first observed by Bender, Mead, and Pinsky [Phys. Rev. Lett. 56, 2445 (1986); J. Math. Phys. 28, 509 (1987)].
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On the zeros of Meixner polynomials [PDF]
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Jooste, Alta +2 more
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Probabilistic derivation of a bilinear summation formula for the Meixner-Pollaczek polynominals
Using the technique of canonical expansion in probability theory, a bilinear summation formula is derived for the special case of the Meixner-Pollaczek polynomials {λn(k)(x)} which are defined by the generating function ∑n=0∞λn(k)(x)zn/n!=(1+z)12(x−k)/(1−
P. A. Lee
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Free Meixner states are a class of functionals on non-commutative polynomials introduced in math.CO/0410482. They are characterized by a resolvent-type form for the generating function of their orthogonal polynomials, by a recursion relation for those ...
C.N. Morris +23 more
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Meixner polynomials of the second kind and quantum algebras representing su(1,1)
We show how Viennot's combinatorial theory of orthogonal polynomials may be used to generalize some recent results of Sukumar and Hodges on the matrix entries in powers of certain operators in a representation of su(1,1).
Chihara T. S. +3 more
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The generalized Koebe function [PDF]
We observe that the extremal function for |a 3| within the class U' α (see Starkov [1]) has as well the property that max|A 4|>4.15, if α=2. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomials P 1 3(x;θ).
Naraniecka I., Szynal J., Tatarczak A.
doaj
ABSTRACT Body composition is an important health parameter during childhood and adolescence. In this study, we investigate the associations between body composition and age, physical activity, side jump, standing long jump, physical working capacity at 170 beats per minute pulse, screen time, and socioeconomic status in a nationwide German sample.
Raphael Schilling +5 more
wiley +1 more source
Radial Bargmann representation for the Fock space of type B [PDF]
Let $\nu_{\alpha,q}$ be the probability and orthogonality measure for the $q$-Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(\alpha,q)$-Gaussian process (the Gaussian process of type B) over the $
Asai N. +10 more
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The concealed information test with a continuously moving stimulus
Abstract The Concealed Information Test (CIT) aims to extract concealed crime‐related knowledge using physiological measures. In the present study, we propose a new variant of the CIT that contains a continuously moving stimulus. A total of 81 participants were either informed or not about the specific location of an upcoming terrorist attack.
Lianne N. Wolsink +3 more
wiley +1 more source

