Results 21 to 30 of about 3,690,143 (190)

COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS

, 2015
An analytic function f defined on the open unit disk U = {z : vertical bar z vertical bar < 1} is biunivalent if the function f and its inverse f(-1) are univalent in U. Inspired by the recent work of Hamidi et al. [8], we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions.
Yalçın Tokgöz, Sibel, Altınkaya, Şahsene   +1 more
openaire   +2 more sources

An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions

Axioms, 2022
In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well.
Ala Amourah, Ibtisam Aldawish, Khadeejah Rasheed Alhindi, Basem Aref Frasin   +3 more
openaire   +2 more sources

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj   +1 more source

Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]

, 2018
summary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions.
Frasin, Basem Aref, Wanas, Abbas Kareem, Adegani, Ebrahim, Zireh, Ahmad, Bulut, SERAP   +4 more
core   +1 more source

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   +1 more source

On the class of bi-univalent functions

Comptes Rendus. Mathématique, 2014
In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f
Sivasubramanian, Srikandan, Sivakumar, Radhakrishnan, Bulboacă, Teodor, Shanmugam, Tirunelveli Nellaiappar   +3 more
openaire   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

مجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +1 more source

On Some New Classes of Bi-univalent Functions

Journal of Applied Mathematics, Statistics and Informatics, 2018
Abstract In the present paper, we introduce and investigate two new subclasses Q Σ (n; y;k) and B Σ (n;β;k) of bi-valent functions in the unit disk U.
Darus, M., Singh, Saumya
openaire   +1 more source

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

International Journal of Mathematics and Mathematical Sciences, 2013
We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi, Suzeini Abd Halim, Jay M. Jahangiri   +2 more
doaj   +1 more source