Results 31 to 40 of about 441,925 (264)

On Gegenbauer polynomials and Wronskian determinants of trigonometric functions [PDF]

arXiv.org
M. E. Larsen evaluated the Wronskian determinant of functions $\{\sin(mx)\}_{1\le m \le n}$. We generalize this result and compute the Wronskian of $\{\sin(mx)\}_{1\le m \le n-1}\cup \{\sin((k+n)x\} $.
Minjian Yuan
semanticscholar   +2 more sources

On a subclass of bi-univalent functions affiliated with bell and Gegenbauer polynomials

Boletim da Sociedade Paranaense de Matemática
This research paper explores the development of a novel class of analytic bi-univalent functions, leveraging the Bell polynomials along with the Gegenbauer polynomials as a fundamental component for establishing the new subclass.
Mohamed Illafe, Abdulmtalb Hussen, M. Mohd, Feras Yousef   +3 more
semanticscholar   +2 more sources

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

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, S. H. Hadi, Y. T. Laz
semanticscholar   +2 more sources

Coupling coefficients of SO(n) and integrals involving Jacobi and Gegenbauer polynomials [PDF]

, 2002
The expressions of the coupling coefficients (3j-symbols) for the most degenerate (symmetric) representations of the orthogonal groups SO(n) in a canonical basis (with SO(n) restricted to SO(n-1)) and different semicanonical or tree bases [with SO(n ...
Sigitas Ališauskas
openalex   +3 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

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

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

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