Results 1 to 10 of about 10,249,087 (358)

Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

Fractal and Fractional, 2023
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba, Serkan Araci, Babatunde Olufemi Adebesin, Fairouz Tchier, Saira Zainab, Bilal Khan   +5 more
doaj   +2 more sources

Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]

Heliyon
In this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh, Ahmad A. Abubakar, Mohammad Faisal Khan, Suha B. Al-Shaikh, Mustafa Kamal   +4 more
doaj   +2 more sources

Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function

Brazilian Archives of Biology and Technology, 2016
Key words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran, Kaliyaperumal Dhanalakshmi, Lakshminarayanan Vanitha   +2 more
doaj   +2 more sources

Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions

AIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
Bilal Khan, H. M. Srivastava, Muhammad Tahir, Maslina Darus, Qazi Zahoor Ahmad, Nazar Khan   +5 more
doaj   +2 more sources

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +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

Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

AIMS Mathematics, 2021
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function.
Murugusundaramoorthy Gangadharan, Vijaya Kaliyappan , Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil   +4 more
doaj   +1 more source

On Certain Properties of a Univalent Function Associated with Beta Function

Abstract and Applied Analysis, 2022
Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature.
Matthew Olanrewaju Oluwayemi, Sunday Olufemi Olatunji, Temitope O. Ogunlade   +2 more
doaj   +1 more source

Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

, 2021
The aim of this paper is to introduce some special families of holomorphic and S\u{a}l\u{a}gean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$ in ...
S. R. Swamy, S. Bulut, Sailaja Yerragunta   +2 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