Results 71 to 80 of about 6,433 (235)
, 2015 We present a high-order shifted Gegenbauer pseudospectral method (SGPM) to solve numerically the second-order one-dimensional hyperbolic telegraph equation provided with some initial and Dirichlet boundary conditions.
Elgindy, Kareem T.
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Characterization of the generalized Gegenbauer polynomials [PDF]
Applied Mathematical Sciences, 2015 We characterize the generalized Gegenbauer polynomials, then we provide a closed form of the the generalized Gegenbauer polynomials using Bernstein basis. We conclude the paper with some results concerning integrals of the generalized Gegenbauer and Bernstein basis.
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Optimal Algebras and Novel Solutions of Time‐Fractional (2 + 1) − D European Call Option Model
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.In this article, we analyse the time‐fractional (2 + 1) − D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems. Furthermore, under the geometric Brownian motion, we reduced the given model to ordinary differential equation (ODE) with integer ...
Gimnitz Simon S. +3 more
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A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions,
Ahmed Ali Atash, Ahmed Ali Al-Gonah
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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On the Green function of the annulus
, 2015 Using the Gegenbauer polynomials and the zonal harmonics functions we give some representation formula of the Green function in the annulus.
Grossi, Massimo, Vujadinovic, Djordjije
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Orthogonal polynomials for the oscillatory-Gegenbauer weight [PDF]
Publications de l'Institut Mathematique, 2008 This is a continuation of our previous investigations on polynomials orthogonal with respect to the linear functional L : P?C, where L = ?1 -1 p(x) d?(x), d?(x) = (1-x?)?-1/2 exp(i?x) dx, and P is a linear space of all algebraic polynomials. Here, we prove an extension of our previous existence theorem for rational ? ? (-1/2,0], give some hypothesis on
Gradimir V. Milovanović +2 more
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New generating functions for Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1996 AbstractA family of new generating functions for the Gegenbauer polynomials is presented. This work is based upon the elementary manipulation of series and is motivated by the recent appearance of these polynomials in certain aspects of applied mathematics.
Harold Exton
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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