Results 31 to 40 of about 517,230 (334)

Initial Coefficients of Biunivalent Functions

Abstract and Applied Analysis, 2014
An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee, V. Ravichandran, Shamani Supramaniam   +2 more
doaj   +1 more source

Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions

Journal of Inequalities and Applications, 2018
In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
doaj   +1 more source

On the Existence of Functions being Univalent in Half-plane together with their Derivatives

Nonlinear Analysis, 2001
In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
doaj   +1 more source

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   +1 more source

On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2021
By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained
Mohammed Fathi, Abdul Rahman Juma
doaj   +1 more source

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

Sahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya   +2 more
doaj   +1 more source

Argument and Coefficient Estimates for Certain Analytic Functions

Mathematics, 2020
The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ
Davood Alimohammadi, Nak Eun Cho, Ebrahim Analouei Adegani, Ahmad Motamednezhad   +3 more
doaj   +1 more source

A class of univalent functions [PDF]

Proceedings of the American Mathematical Society, 1964
f'(0)= 1. In this paper we study the subclass denoted by F and defined by the condition If'(z) - Ij < 1 for I zj < 1.
openaire   +1 more source

Nonvanishing univalent functions [PDF]

Mathematische Zeitschrift, 1980
The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + .
Duren, Peter L., Schober, Glenn
openaire   +3 more sources

Meromorphic univalent function with negative coefficient

International Journal of Mathematics and Mathematical Sciences, 1994
Let Mn be the classes of regular functions f(z)=z−1+a0+a1z+… defined in the annulus ...
A. Dernek
doaj   +1 more source