Results 91 to 100 of about 3,690,143 (190)

Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials

, 2021
In this article, two new subclasses of the bi-univalent function class σ related with Legendre polynomials are presented. Additionally, the first two Taylor–Maclaurin coefficients a2 and a3 for the functions belonging to these new subclasses ...
Amani Z. Bajamal, Abdel Moneim Y. Lashin, Abeer O. Badghaish   +2 more
core   +1 more source

Applications of Bernoulli Polynomials and q²-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Mathematics
The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish, Paduvalapattana Kempegowda Mamatha   +3 more
doaj   +1 more source

Coefficient Estimates for New Subclasses of Analytic and Bi-Univalent Functions Defined by Al-Oboudi Differential Operator

Journal of Function Spaces and Applications, 2013
We introduce and investigate two new subclasses and of analytic and bi-univalent functions in the open unit disk For functions belonging to these classes, we obtain estimates on the first two Taylor-Maclaurin coefficients ...
Serap Bulut
doaj   +1 more source

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018
In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and | a3|.
Gangadharan Murugusundaramoorthy, Teodor Bulboaca   +1 more
doaj   +1 more source

Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions

International Journal of Mathematics and Mathematical Sciences
This research paper introduces the novel subclass of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass. In addition, we provide solutions to
Ala Amourah, Basem Aref Frasin, Jamal Salah, Tariq Al-Hawary   +3 more
openaire   +3 more sources

Sakaguchi type functions defined by balancing polynomials [PDF]

Mathematica Bohemica
The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients $\vert a_2\vert$ and $\vert a_3\vert$ have ...
Gunasekar Saravanan, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Serap Bulut   +3 more
doaj   +1 more source

On certain subclasses of analytic and bi-univalent functions

Journal of the Egyptian Mathematical Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

New subclasses of bi-univalent functions defined by multiplier transformation

, 2020
In the present paper, we introduce new subclasses of the function class $\sum$ of bi-univalent functions by using multiplier transformation. Furthermore, we obtain estimates on the coefficients $|a_2|, |a_3|~\text{and}~|a_4|$ for functions of this class.
PORWAL , Saurabh, KUMAR, Shivam
core   +1 more source

Coefficients of bi-univalent functions with positive real part derivatives

, 2014
We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions.
Nur Munawwarah
core  

Some Classes of Bi-Starlike and Bi-Convex Functions Associated with the Poisson-Charlier Polynomials

Axioms
Motivated by the interplay between discrete orthogonal polynomials and geometric function theory, we introduce and investigate some new Ma-Minda-type subclasses of bi-univalent functions generated by the Poisson-Charlier polynomials through their ...
Hari M. Srivastava, Areej Alomar, Maslina Darus   +2 more
doaj   +1 more source