Results 31 to 40 of about 133,676 (303)
Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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Continuum discretization using orthogonal polynomials [PDF]
Physical Review A, 2003 A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently been presented @Phys. Rev. A 63, 052111 ~2001!#. In the present paper, we propose a generalization of that formalism which does not rely on the harmonic oscillator for the inclusion of the continuum in the study of weakly bound systems ...
Pérez Bernal, Francisco +3 more
openaire +4 more sources
Discrete orthogonal polynomial ensembles and the Plancherel measure [PDF]
The Annals of Mathematics, 1999 38 pages, published ...
Kurt Johansson
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Differential equations for discrete Jacobi-Sobolev orthogonal polynomials [PDF]
Journal of Spectral Theory, 2015 The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Jacobi–Sobolev bilinear form with mass point at –
Antonio J. Durán +1 more
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Gottlieb Polynomials and Their q-Extensions
Mathematics, 2021 Since Gottlieb introduced and investigated the so-called Gottlieb polynomials in 1938, which are discrete orthogonal polynomials, many researchers have investigated these polynomials from diverse angles.
Esra ErkuŞ-Duman, Junesang Choi
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Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
core +1 more source
Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions [PDF]
Transactions of the American Mathematical Society, 2019 The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalized to discrete settings involving either a linear or an exponential lattice. The corresponding correlation functions can be expressed in terms of
P. Forrester, Shi‐Hao Li
semanticscholar +1 more source
Mathematics, 2022 In this contribution we consider sequences of monic polynomials orthogonal with respect to the Sobolev-type inner product f,g=⟨uM,fg⟩+λTjf(α)Tjg(α), where uM is the Meixner linear operator, λ∈R+, j∈N, α≤0, and T is the forward difference operator Δ or ...
Roberto S. Costas-Santos +2 more
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Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point [PDF]
, 2014 In this paper, we develop the Riemann–Hilbert method to study the asymptotics of discrete orthogonal polynomials on infinite nodes with an accumulation point.
Xiao-Bo Wu +3 more
semanticscholar +1 more source
IET Networks, EarlyView., 2023 We utilise a metaheuristic optimisation method, inspired by nature, called the Lévy‐flight firefly algorithm (LFA), to tackle the power regulation and user grouping in the NOMA systems. Abstract The non‐orthogonal multiple access strategies have shown promise to boost fifth generation and sixth generation wireless networks' spectral efficiency and ...
Zaid Albataineh +4 more
wiley +1 more source