Results 91 to 100 of about 133,676 (303)
Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
Journal of difference equations and applications (Print), 2018 We study orthogonal polynomials on quadratic lattices with respect to Stieltjes functions, S, that satisfy a difference equation where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or ...
G. Filipuk, M. N. Rebocho
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Zero distributions for discrete orthogonal polynomials
Journal of Computational and Applied Mathematics, 1998 The authors give an overview of the recent work on the distribution of zeros of discrete orthogonal polynomials. The work by \textit{E. A. Rakhmanov} [Mat. Sb. 187, No. 8, 109-124 (1996); English translation in Sb. Math. 187, No. 8, 1213-1228 (1996; Zbl 0873.42014)] is taken as the starting point of the use of a new kind of equilibrium problems in ...
Kuijlaars, A.B.J., Rakhmanov, E.A.
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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
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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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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
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On Generating Orthogonal Polynomials for Discrete Measures
Zeitschrift für Analysis und ihre Anwendungen, 1998 In the present paper, we derive an algorithm for computing the recurrence coefficients of orthogonal polynomials with respect to discrete measures. This means that the support of the measure is a finite set. The algorithm is based oniormulae of Nevai describing the transformation of recurrence coefficients, if we add a point mass to the measure of ...
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On zeros of discrete orthogonal polynomials
Journal of Approximation Theory, 2009 The authors establish sharp inequalities for the extreme zeros of the classical discrete orthogonal polynomials: Charlier, Krawtchouk, Meixner, and Hahn. Their approach is based on the corresponding difference equations. For Charlier, Krawtchouk, and Meixner polynomials the function bounding the zero spacing is unimodal, meanwhile for the Hahn case ...
Krasikov, Ilia, Zarkh, Alexander
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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
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Generalized Orthogonal Polynomials, Discrete KP and Riemann-Hilbert Problems [PDF]
Communications in Mathematical Physics, 1999 Classically, a single weight on an interval of the real line leads to moments, orthogonal polynomials and tridiagonal matrices. Appropriately deforming this weight with times t=(t_1,t_2,...), leads to the standard Toda lattice and tau-functions, expressed as Hermitian matrix integrals.
Adler, M., van Moerbeke, P.
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