Results 121 to 130 of about 446,531 (268)

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
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A Quadruple Integral Containing the Gegenbauer Polynomial Cn(λ)(x): Derivation and Evaluation [PDF]

, 2022
Robert Reynolds, A D Stauffer
openalex   +1 more source

On an umbral treatment of Gegenbauer, Legendre and Jacobi polynomials

International Mathematical Forum, 2017
Special polynomials, ascribed to the family of Gegenbauer, Legen- dre, and Jacobi and of their associated forms, can be expressed in an operational way, which allows a high degree of flexibility for the for- mulation of the relevant theory. We develop a point of view based on an umbral type formalism, exploited in the past, to study some aspects of the
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli   +3 more
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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

Generalized Gegenbauer orthogonal polynomials

Journal of Computational and Applied Mathematics, 2001
The aim of the author is to give a characterization of the so-called generalized Gegenbauer polynomials. He first shows the link between this functions and the classical Jacobi polynomials. Then he establishes both a differential-difference and a second order differential equation satisfied by these generalized polynomials.
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On the derivatives of generalized Gegenbauer polynomials

, 2002
3 pages, no figures; submitted to Theor.
Garc?a Fuertes, Wifredo, Perelomov, Askold M.   +1 more
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Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials\n and Associated Wavelets [PDF]

, 2017
Sabrine Arfaoui, Anouar Ben Mabrouk
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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

Some Generating Functions of Modified Gegenbauer Polynomials by Lie Algebraic Method [PDF]

, 2014
K. P. Samanta, B. C. Chandra, C. S. Bera
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Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]

Entropy (Basel), 2022
Dehesa JS.
europepmc   +1 more source