Results 11 to 20 of about 127 (84)

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

Journal of Mathematics, 2022
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad   +4 more
doaj   +2 more sources

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

Journal of Function Spaces, 2022
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz, Luminița-Ioana Cotîrlă, Elangho Umadevi, Kadhavoor R. Karthikeyan   +3 more
doaj   +2 more sources

New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator

Journal of Mathematics, 2022
The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In
Shahid Khan, Saqib Hussain, Ilyas Khan, Amnah s. Al-johani, Mulugeta Andualem   +4 more
doaj   +2 more sources

Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]

Mathematica Bohemica, 2023
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and
Sheza M. El-Deeb, Serap Bulut
doaj   +1 more source

On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers

Mathematics, 2023
One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö ...
Daniel Breaz, Abbas Kareem Wanas, Fethiye Müge Sakar, Seher Melike Aydoǧan   +3 more
doaj   +1 more source

A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]

Journal of Mahani Mathematical Research, 2023
In this paper, we introduce a newly defined  subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei, Shahram Najafzadeh, Ali Ebadian   +2 more
doaj   +1 more source

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains [PDF]

Sahand Communications in Mathematical Analysis, 2019
In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their ...
Sarfraz Nawaz Malik, Sidra Riaz, Mohsan Raza, Saira Zainab   +3 more
doaj   +1 more source

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth, Naveed Iqbal, Muhammad Naeem, Yousef Jawarneh, Sallieu K. Samura, Mohsan Raza   +5 more
wiley   +1 more source

The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four‐Leaf‐Shaped Domain

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this particular research article, we take an analytic function Q4L=15616+/z+/z5, which makes a four‐leaf‐shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients ...
Azzh Saad Alshehry, Rasool Shah, Abdul Bariq, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source