Results 1 to 10 of about 71,161 (303)
Multiple orthogonal polynomial ensembles [PDF]
, 2009 Multiple orthogonal polynomials are traditionally studied because of their connections to number theory and approximation theory. In recent years they were found to be connected to certain models in random matrix theory.
Kuijlaars, Arno B. J.
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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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Multiple big q-Jacobi polynomials [PDF]
Bulletin of Mathematical Sciences, 2020 Here, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain ...
Fethi Bouzeffour, Mubariz Garayev
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Poly-Genocchi polynomials and its applications
AIMS Mathematics, 2021 In this paper, we discussed some new properties on the newly defined family of Genocchi polynomials, called poly-Genocchi polynomials. These polynomials are extensions from the Genocchi polynomials via generating function involving polylogarithm function.
Chang Phang +2 more
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On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
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Coherent Dynamics of Quantum Systems with Non-Uniform Fourier Space Excited by Laser Radiation
Zanco Journal of Pure and Applied Sciences, 2022 The algorithm is presented to solve dynamical equations for excitation of molecular models with multiple energy levels. It uses only discrete structures: discrete orthogonal polynomials constructed specially in Fourier space of the probability amplitudes,
Sary Banjak , Vadim Savva
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On the ω-multiple Meixner polynomials of the first kind
Journal of Inequalities and Applications, 2020 In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
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On the ω-multiple Charlier polynomials
Advances in Difference Equations, 2021 The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ .
Mehmet Ali Özarslan, Gizem Baran
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Angular Correlation Using Rogers-Szegő-Chaos
Mathematics, 2020 Polynomial chaos expresses a probability density function (pdf) as a linear combination of basis polynomials. If the density and basis polynomials are over the same field, any set of basis polynomials can describe the pdf; however, the most logical ...
Christine Schmid, Kyle J. DeMars
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Numerical solution of neutral delay differential equations using orthogonal neural network
Scientific Reports, 2023 In this paper, an efficient orthogonal neural network (ONN) approach is introduced to solve the higher-order neutral delay differential equations (NDDEs) with variable coefficients and multiple delays.
Chavda Divyesh Vinodbhai, Shruti Dubey
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