Results 1 to 10 of about 1,235 (84)
Existence and uniqueness of fractal-fractional equations generated by a new fractal-fractional operator utilizing the advanced gamma function [PDF]
MethodsXNumerous special functions, including the beta function, hypergeometric functions, and other orthogonal polynomials, are closely connected to the gamma function. Recently, gamma function has been enhanced by adding a new parameter. As a consequence, this
Ibtehal Alazman, Rabha W. Ibrahim
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Spectral method of electrical circuits accelerated simulation with thyristors
Elektrotehnìka ta Elektroenergetika, 2023 Purpose. The development of transient processes calculation method in electric circuits with thyristors based on the use of functions approximation by orthogonal polynomials. Methodology.
S.M. Tykhovod +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Bernstein spectral method for quasinormal modes and other eigenvalue problems
European Physical Journal C: Particles and Fields, 2023 Spectral methods are now common in the solution of ordinary differential eigenvalue problems in a wide variety of fields, such as in the computation of black hole quasinormal modes.
Sean Fortuna, Ian Vega
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ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS [PDF]
Journal of Structural and Construction Engineering, 2019 In this article, the efficiency of Boundary Characteristic Orthogonal Polynomials (BCOPs) in analyzing the static and dynamic behavior of thin rectangular plates with openings versus the Finite Element Method (FEM) and the analytical solutions (if they ...
Ali Nikkhoo +2 more
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Acta Polytechnica, 2016 The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other.
Jiri Hrivnak, Lenka Motlochova
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On conjectures of Stenger in the theory of orthogonal polynomials
Journal of Inequalities and Applications, 2019 The conjectures in the title deal with the zeros xj $x_{j}$, j=1,2,…,n $j=1,2, \ldots ,n$, of an orthogonal polynomial of degree n>1 $n>1$ relative to a nonnegative weight function w on an interval [a,b] $[a,b]$ and with the respective elementary ...
Walter Gautschi, Ernst Hairer
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 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.
Ernest G. Kalnins +2 more
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Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]
Radioengineering, 2018 A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic +3 more
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Operational Approach and Solutions of Hyperbolic Heat Conduction Equations
Axioms, 2016 We studied physical problems related to heat transport and the corresponding differential equations, which describe a wider range of physical processes. The operational method was employed to construct particular solutions for them.
Konstantin Zhukovsky
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