Results 61 to 70 of about 972,343 (359)
Bernstein collocation method for neutral type functional differential equation
Mathematical Biosciences and Engineering, 2021 Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
doaj +1 more source
Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach
, 2002 We prove that general correlation functions of both ratios and products of characteristic polynomials of Hermitian random matrices are governed by integrable kernels of three different types: a) those constructed from orthogonal polynomials; b ...
Andreev +37 more
core +1 more source
Generating new classes of orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1996 Given a sequence of monic orthogonal polynomials (MOPS), {Pn}, with respect to a quasi-definite linear functional u, we find necessary and sufficient conditions on the parameters an and bn for the sequence Pn(x)+anPn−1(x)+bnPn−2(x), n≥1P0(x)=1,P−1(x ...
Amílcar Branquinho +1 more
doaj +1 more source
Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2012 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
E. G. Kalnins, W. Miller, S. Post
semanticscholar +1 more source
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane [PDF]
, 2012 We consider the orthogonal polynomials { Pn(z) } with respect to the measure | z−a |2Nce−N| z |2dA(z) over the whole complex plane. We obtain the strong asymptotic of the orthogonal polynomials in the complex plane and the location of their zeros in a ...
F. Balogh +3 more
semanticscholar +1 more source
, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
core +2 more sources
Remarks on orthogonal polynomials with respect to varying measures and related problems
International Journal of Mathematics and Mathematical Sciences, 1993 We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
doaj +1 more source
Orthogonal Homogeneous Polynomials
Advances in Applied Mathematics, 1999 AbstractAn addition formula, Pythagorean identity, and generating function are obtained for orthogonal homogeneous polynomials of several real variables. Application is made to the study of series of such polynomials. Results include an analog of the Funk-Hecke theorem.
A. Fryant, A. Naftalevich, M. K. Vemuri
openaire +2 more sources