Results 41 to 50 of about 441,925 (264)

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

open access: yesSymmetry, 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   +3 more
semanticscholar   +1 more source

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

open access: yesContemporary 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   +4 more
semanticscholar   +1 more source

Fourier Series of Gegenbauer-Sobolev Polynomials [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2018
We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
Ciaurri, Ó., Mínguez, J.
openaire   +4 more sources

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

open access: yesWSEAS 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

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

open access: yesSymmetry, 2023
In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator ...
S. Kazımoğlu   +2 more
semanticscholar   +1 more source

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

open access: yesIET 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   +2 more
wiley   +1 more source

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

open access: yesSymmetry, 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   +2 more
semanticscholar   +1 more source

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

open access: yesInternational Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley   +1 more source

Gegenbauer polynomials for certain subclasses of Bazilevic functions associated with a generalized operator defined by convolution

open access: yesGulf Journal of Mathematics, 2023
In this paper, a class Gη_1,η_2β(α,t), consisting of Bazilevic functions of type α and involving a certain generalized differential operator is defined by means of Gegenbauer polynomials.
E. Oyekan
semanticscholar   +1 more source

Matrix-Valued Gegenbauer-Type Polynomials [PDF]

open access: yesConstructive Approximation, 2017
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $$\nu >0$$ .
Koelink, Erik   +2 more
openaire   +4 more sources

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