Results 41 to 50 of about 502,278 (261)

Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions

Symmetry, 2022
In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions defined on symmetric domain by means of the Pascal distribution series and Gegenbauer polynomials.
A. Amourah, B. Frasin, Morad Ahmad, F. Yousef   +3 more
semanticscholar   +1 more source

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj   +1 more source

A Potent Collocation Approach Based on Shifted Gegenbauer Polynomials for Nonlinear Time Fractional Burgers’ Equations

Contemporary Mathematics, 2023
This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the collocation approach is used.
E. Magdy, W. Abd-Elhameed, Youssri Hassan Youssri, G. M. Moatimid, A. G. Atta   +4 more
semanticscholar   +1 more source

Approximate solution of space fractional order diffusion equations by Gegenbauer collocation and compact finite difference scheme

Journal of Nigerian Society of Physical Sciences, 2023
In this paper, approximation of space fractional order diffusion equation are considered using compact finite difference technique to discretize the time derivative, which was then approximated via shifted Gegenbauer polynomials using zeros of (N - 1 ...
Kazeem Issa, Steven Ademola Olorunnisola, Tajudeen Aliu, Adeshola Adeniran Dauda   +3 more
doaj   +1 more source

Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

Mathematics, 2023
In the real world there are many applications that find the Bell distribution to be a useful and relevant model. One of these is the normal distribution.
A. Amourah, Omar Alnajar, M. Darus, Ala Shdouh, O. Ogilat   +4 more
semanticscholar   +1 more source

Applications of Gegenbauer Polynomials to a Certain Subclass of p-Valent Functions

WSEAS Transactions on Mathematics, 2023
The paper presents a subclass of p-valent functions defined by the means of Gegenbauer Polynomials in the open unit disk D. We investigate the properties of this new class and provide estimations for the modulus of the coefficients ap+1 and ap+2, where p
Waleed Al-Rawashdeh
semanticscholar   +1 more source

Electromagnetic scattering of H‐polarised cylindrical wave by a double‐sided impedance circular strip

IET Microwaves, Antennas &Propagation, Volume 17, Issue 15, Page 1093-1105, December 2023., 2023
The authors investigate the line source diffraction by a circular strip with different impedance value on inner and outer surfaces. As it is noticed, the resonance value becomes higher for the boundary condition corresponding to material in between PEC and PMC.
Vasil Tabatadze, Ömer Faruk Alperen, Kamil Karaçuha   +2 more
wiley   +1 more source

Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative

Symmetry, 2023
In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator ...
S. Kazımoğlu, E. Deniz, L. Cotîrlă
semanticscholar   +1 more source

Onset of Convection in Rotating Spherical Shells: Variations With Radius Ratio

Earth and Space Science, Volume 10, Issue 1, January 2023., 2023
Abstract Convection in rotating spherical layers of fluid is ubiquitous in spherical astrophysical objects like planets and stars. A complete understanding of the magnetohydrodynamics requires understanding of the linear problem—when convection onsets in these systems.
A. Barik, S. A. Triana, M. Calkins, S. Stanley, J. Aurnou   +4 more
wiley   +1 more source

Applications of Gegenbauer Polynomials for Subfamilies of Bi-Univalent Functions Involving a Borel Distribution-Type Mittag-Leffler Function

Symmetry, 2023
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Abdullah Alatawi, M. Darus, Badriah A. S. Alamri   +2 more
semanticscholar   +1 more source