Results 31 to 40 of about 438,335 (228)

On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials

Pan-American Journal of Mathematics
Recent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials.
Rasheed Olawale Ayinla, Ayotunde Olajide Lasode   +1 more
openalex   +3 more sources

Enhancing low-light images using Sakaguchi type function and Gegenbauer polynomial. [PDF]

Sci Rep
Sundari KS, Keerthi BS.
europepmc   +2 more sources

Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions. [PDF]

Heliyon
Al-Hawary T, Alsoboh A, Amourah A, Ogilat O, Harny I, Darus M.   +5 more
europepmc   +2 more sources

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\} $.
Mingxuan Yuan
openalex   +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, Maisarah Haji Mohd, Feras Yousef   +3 more
openalex   +2 more sources

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Axioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
A. Amourah, A. Alsoboh, O. Ogilat, G. Gharib, Rania Saadeh, Maha Al Soudi   +5 more
semanticscholar   +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

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials

Mathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
semanticscholar   +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

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