Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
On the computation of recurrence coefficients for univariate orthogonal polynomials. [PDF]
J Sci Comput, 2021 Liu Z, Narayan A.
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Generating functions of Appell form for the classical orthogonal polynomials [PDF]
, 1956 R. C. T. Smith
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Szegő polynomials: some relations to L-orthogonal and orthogonal polynomials
Journal of Computational and Applied Mathematics, 2003 We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also consider the polynomials obtained when the coefficients in the recurrence relations satisfied by the self inversive orthogonal L ...
Bracciali, Cleonice Fátima +2 more
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AGORA: Adaptive Generation of Orthogonal Rational Approximations for Frequency‐Response Data
International Journal of Circuit Theory and Applications, EarlyView.This paper introduces the adaptive generation of orthogonal rational approximations (AGORA) method for rational function approximation of measured or simulated microwave network parameters. AGORA allows estimating the model order for a given error tolerance and does not require any initial estimates or adjustment of hyperparameters. ABSTRACT This paper
Andria Lemus, Arif Ege Engin
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A Robust Handwritten Numeral Recognition Using Hybrid Orthogonal Polynomials and Moments. [PDF]
Sensors (Basel), 2021 Abdulhussain SH +5 more
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Determination of orthogonal polynomials from Polya's law [PDF]
, 1935 Ota Fischer
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Another connection between orthogonal polynomials and L-orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2007 AbstractWe consider a connection that exists between orthogonal polynomials associated with positive measures on the real line and orthogonal Laurent polynomials associated with strong measures of the class S3[0,β,b]. Examples are given to illustrate the main contribution in this paper.
de Andrade, E. X. L. +2 more
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Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling
Contributions to Plasma Physics, EarlyView.ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva +8 more
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