Results 41 to 50 of about 2,343 (153)

Characterization of the cubic exponential families by orthogonality of polynomials [PDF]

open access: yes, 2004
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
core   +3 more sources

Meixner–Pollaczek polynomials and the Heisenberg algebra [PDF]

open access: yesJournal of Mathematical Physics, 1989
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)].
openaire   +1 more source

On the zeros of Meixner polynomials [PDF]

open access: yesNumerische Mathematik, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jooste, Alta   +2 more
openaire   +2 more sources

Probabilistic derivation of a bilinear summation formula for the Meixner-Pollaczek polynominals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
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
doaj   +1 more source

Free Meixner states

open access: yes, 2007
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
core   +2 more sources

Meixner polynomials of the second kind and quantum algebras representing su(1,1)

open access: yes, 2009
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
core   +1 more source

The generalized Koebe function [PDF]

open access: yesПроблемы анализа, 2010
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  

Body Composition and Its Correlates in Children and Adolescents Living in Germany: A Cross‐Sectional Study

open access: yesEuropean Journal of Sport Science, Volume 25, Issue 11, November 2025.
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]

open access: yes, 2016
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
core   +3 more sources

The concealed information test with a continuously moving stimulus

open access: yesPsychophysiology, Volume 62, Issue 2, February 2025.
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

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