Results 191 to 200 of about 128,675 (227)

Structured light analogy of quantum squeezed states. [PDF]

open access: yesLight Sci Appl
Wang Z   +6 more
europepmc   +1 more source

Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions

International Journal of Systems Science, 2022
This paper investigates model order reduction (MOR) methods of discrete-time systems via discrete orthogonal polynomials in the time domain. First, this system is expanded under discrete orthogonal polynomials, and the expansion coefficients are computed
Zhaoxi Wang, Yaolin Jiang, Kangli Xu
semanticscholar   +1 more source

Stieltjes’ theorem for classical discrete orthogonal polynomials

, 2020
The purpose of this note is to establish, from the hypergeometric-type difference equation introduced by Nikiforov and Uvarov, new tractable sufficient conditions for the monotonicity with respect to a real parameter of zeros of classical discrete ...
K. Castillo, F. R. Rafaeli, A. Suzuki
semanticscholar   +1 more source

2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

, 2021
In this paper, we are interested in the following problem. We assume that is a monic 2-orthogonal polynomial sequence and we analyse the existence of a sequence of 2-orthogonal polynomials such that we have a decomposition This constitutes the ...
F. Marcellán, H. Chaggara, N. Ayadi
semanticscholar   +1 more source

Exceptional Orthogonal Polynomials via Krall Discrete Polynomials

, 2020
We consider two important extensions of the classical and classical discrete orthogonal polynomials: namely, Krall and exceptional polynomials. We also explore the relationship between both extensions and how they can be used to expand the Askey tableau.
A. J. Durán
semanticscholar   +1 more source

Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame

, 2020
In this paper, an orthogonal polynomials-based (OPs-based) approach to generate discrete moving frames and invariants is developed. It is shown that OPs can provide explicit expressions for the discrete moving frame as well as the associated difference
Bao Wang   +3 more
semanticscholar   +1 more source

Discrete Semiclassical Orthogonal Polynomials of Class 2

Orthogonal Polynomials: Current Trends and Applications, 2019
In this contribution, discrete semiclassical orthogonal polynomials of class $s\leq2$ are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class.
Diego Dominici   +1 more
semanticscholar   +1 more source

THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES

, 2010
In this paper, we develop the Riemann–Hilbert approach to study the global asymptotics of discrete orthogonal polynomials with infinite nodes. We illustrate our method by concentrating on the Charlier polynomials .
Chunhua Ou, R. Wong
semanticscholar   +1 more source

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