Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the $D_{6}^{(1)}$ Sakai surface [PDF]
, 2022 Xing Li +3 more
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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 +2 more
core
Orthogonal polynomials derived from the tridiagonal representation approach
, 2017 The tridiagonal representation approach is an algebraic method for solving second order differential wave equations. Using this approach in the solution of quantum mechanical problems, we encounter two new classes of orthogonal polynomials whose ...
Alhaidari, A. D.
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Addressing issues such as low heat transfer intensity, high system power consumption, and poor temperature uniformity in liquid cooling plates for lithium‐ion batteries (LIBs) in electric vehicles (EVs), a pin‐fin liquid cooling plate was designed to enhance comprehensive heat transfer performance.
Feifei Liu +5 more
wiley +1 more source
Orthogonal Basic Hypergeometric Laurent Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
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APPROXIMATIVE PROPERTIES OF FOURIER-MEIXNER SUMS
Проблемы анализа, 2018 We consider the problem of approximation of discrete functions f = f(x) defined on the set Ω_δ = {0, δ, 2δ, . . .}, where δ =1/N, N > 0, using the Fourier sums in the modified Meixner polynomials M_(α;n,N)(x) = M(α;n)(Nx) (n = 0, 1, . . .), which for α >
Gadzhimirzaev R. M.
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Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations [PDF]
, 2022 Manuel Mañas
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies
Chemistry – A European Journal, EarlyView.Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer +7 more
wiley +1 more source
Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
, 2004 The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation parameter) instead of an ...
Andrews G E +29 more
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