Results 91 to 100 of about 6,252 (234)

The Numerical Approximation of Caputo Fractional Derivatives of Higher Orders Using a Shifted Gegenbauer Pseudospectral Method: A Case Study of Two-Point Boundary Value Problems of the Bagley–Torvik Type

Mathematics
This paper introduces a novel Shifted Gegenbauer Pseudospectral (SGPS) method for approximating Caputo fractional derivatives (FDs) of an arbitrary positive order.
Kareem T. Elgindy
doaj   +1 more source

On an Energy-Dependent Quantum System with Solutions in Terms of a Class of Hypergeometric Para-Orthogonal Polynomials on the Unit Circle

Mathematics, 2020
We study an energy-dependent potential related to the Rosen–Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrödinger operator in terms of a class of functions associated to a family of hypergeometric para ...
Jorge A. Borrego-Morell, Cleonice F. Bracciali, Alagacone Sri Ranga   +2 more
doaj   +1 more source

Fekete–Szegö Inequalities for a New Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials [PDF]

, 2022
Murat Çağlar, Luminiţa-Ioana Cotîrlă, Mucahit Buyankara   +2 more
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Quantum algebra approach to q Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1995
Quantum algebras provide a natural algebraic setting for \(q\)-special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of \(q\)- hypergeometric series. The author here takes the quantum algebra \({\mathcal U}_q (\text{su} (1,1))\) as example, to show that its metaplectic ...
Roberto Floreanini, Luc Vinet
openaire   +3 more sources

Fourier–Gegenbauer Integral Galerkin Method for Solving the Advection–Diffusion Equation with Periodic Boundary Conditions

Computation
This study presents the Fourier–Gegenbauer integral Galerkin (FGIG) method, a new numerical framework that uniquely integrates Fourier series and Gegenbauer polynomials to solve the one-dimensional advection–diffusion (AD) equation with spatially ...
Kareem T. Elgindy
doaj   +1 more source

On the derivatives of generalized Gegenbauer polynomials

, 2002
3 pages, no figures; submitted to Theor.
García Fuertes, Wifredo, Perelomov, Askold M.   +1 more
openaire   +3 more sources

A study of the Fekete-Szegö functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

, 2021
H. M. Srivastava, Muhammet Kamali̇, Anarkül Urdaletova   +2 more
openalex   +1 more source

A numerical technique for solving multi-dimensional fractional optimal control problems

Journal of Taibah University for Science, 2018
In this article, we use the operation matrix (OM) of Riemann–Liouville fractional integral of the shifted Gegenbauer polynomials with the Lagrange multiplier method to provide efficient numerical solutions to the multi-dimensional fractional optimal ...
Hoda F. Ahmed
doaj   +1 more source

The Orthogonal Riesz Fractional Derivative

Axioms
The aim of this paper is to extend the concept of the orthogonal derivative to provide a new integral representation of the fractional Riesz derivative. Specifically, we investigate the orthogonal derivative associated with Gegenbauer polynomials Cn(ν)(x)
Fethi Bouzeffour
doaj   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source