Results 81 to 90 of about 128,675 (227)

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj   +1 more source

A Discrete Cramér–Von Mises Statistic Related to Hahn Polynomials with Application to Goodness-of-Fit Testing for Hypergeometric Distributions

Axioms
We give the Karhunen–Loève expansion of the covariance function of a family of discrete weighted Brownian bridges, appearing as discrete analogues of continuous Gaussian processes related to Cramér –von Mises and Anderson–Darling statistics. This analogy
Jean-Renaud Pycke
doaj   +1 more source

On the ω-multiple Meixner polynomials of the first kind

Journal of Inequalities and Applications, 2020
In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
doaj   +1 more source

Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results

, 2002
We compute the pointwise asymptotics of orthogonal polynomials with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the measure and also the degree of the orthogonal polynomials become large.
Baik, Jinho, Kriecherbauer, Thomas, McLaughlin, Ken T. -R., Miller, Peter D.   +3 more
core   +1 more source

The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator.
Abdallah Ghressi, Lotfi Khériji
doaj   +1 more source

A Cohen Type Inequality for Fourier Expansions of Orthogonal Polynomials with a Nondiscrete Jacobi-Sobolev Inner Product

Journal of Inequalities and Applications, 2010
Let denote the sequence of polynomials orthogonal with respect to the non-discrete Sobolev inner product , where and with , . In this paper, we prove a Cohen type inequality for the Fourier expansion in terms of the orthogonal polynomials ...
Marcellán Francisco, Fejzullahu BujarXh   +1 more
doaj  

Some multivariable orthogonal polynomials of the Askey tableau-discrete families [PDF]

, 1991
M. V. Tratnik
openalex   +1 more source

Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]

, 2011
We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +2 more
core  

Unique positive solutions to q-discrete equations associated with orthogonal polynomials [PDF]

, 2021
Tomas Lasic Latimer
openalex   +1 more source

The Fourier extension method and discrete orthogonal polynomials on an arc of the circle [PDF]

Advances in Mathematics, 2019
J. Geronimo, Karl Liechty
semanticscholar   +1 more source