Results 31 to 40 of about 446,531 (268)

Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]

Journal of Mahani Mathematical Research, 2023
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
doaj   +1 more source

On a generalized class of \(q\)-Gegenbauer polynomials and subordination-defined bi-univalent functions [PDF]

Open Journal of Mathematical Analysis
This work introduces a unique family of bi-univalent functions utilising \(q\)-Gegenbauer polynomials. The estimates of the initial coefficients \(\left\vert a_{2}\right\vert\) and \(\left\vert a_{2}\right\vert\) for functions in this new class, together
Abdullah Alatawi, Sarem H. Hadi, Youssef T. Laz   +2 more
openalex   +2 more sources

Construction of the Shifted Modified Gegenbauer Polynomials and Approximation [PDF]

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This article is concerned with deriving a new system of orthogonal polynomials, derived from the Gegenbauer polynomials, modified by affine transforms in variable, named shifted Gegenbauer polynomials. They appear as solutions of linear differential equation.
Abdelhamid Rehouma, Hossein Jafari, Abdelhamid Rehouma, Hossein Jafari   +3 more
openalex   +2 more sources

A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS

Ural Mathematical Journal, 2023
In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
doaj   +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

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

A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

Symmetry, 2023
In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
T. Al-Hawary, A. Amourah, A. Alsoboh, O. Alsalhi   +3 more
semanticscholar   +1 more source

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]

ISRN Algebra, 2011
Here, we present a connection between a sequence of polynomials generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials. Many new and known transfer formulas between non-Gegenbauer-Humbert polynomials and generalized Gegenbauer-Humbert polynomials are given.
Tian-Xiao He, Peter J.-S. Shiue
openaire   +1 more source

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

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