Results 71 to 80 of about 5,311 (200)

Estimates for the Initial Coefficients of Bi-univalent Functions

, 2016
[[abstract]]A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P.
Virendra Kumar, V. Ravichandran, S. Sivaprasad Kumar   +2 more
core  

On the convex sum of certain univalent functions and the identity function [PDF]

, 1987
If g(z) is analytic, univalent, and convex in the unit disk E = {|z| and lt; 1}, g(0) = 0, g'(0) = 1, we extend some known results about the classification of Hλ(z) = λZ+ (1- λ)g(Z)when λ ≥ 0. In particular, it is proved Hλ is starlike in E for each λ ∈ [
Merkes, E. P.
core  

Coefficient Estimates for Some Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Linear Operator

, 2021
 The articles introduces and investigates "two new subclasses of the bi-univalent functions ." These are analytical functions related to the m-fold symmetric function  and  .
Hussein , Dhirgam Allawy Hussein, Mahmood , Sahar Jaafar   +1 more
core   +1 more source

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

Axioms
In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy, M. Çağlar, L. I. Cotirla, S. Sivasubramanian   +3 more
doaj   +1 more source

Univalent functions with univalent sections [PDF]

, 1998
Contains fulltext : 265336.pdf (Publisher’s version ) (Open Access)
openaire  

Nonvanishing univalent functions III

Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985
In two previous papers [Math. Z. 170, 195-216 (1980; Zbl 0411.30010) and Ann. Univ. Mariae Curie-Skłodowska, Sect. A 36/37 (1982-83), 33-43 (1983; Zbl 0572.30020)] we studied the class \(S_ 0\) of functions f analytic, univalent, and nonvanishing in the unit disk D, with \(f(0)=1\).
Duren, Peter L. (1935- ), Schober, Glenn (1938- )   +1 more
openaire   +3 more sources

Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

Mathematics
This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials.
Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish   +3 more
doaj   +1 more source

Analytic function classes defined by Mittag–Leffler inspired Poisson-type series

Alexandria Engineering Journal
In this article, we introduce new subclass SMα,β,λm(γ) of univalent functions based on Mittag-Leffler function related to the distribution series within the unit disc U={ζ∈C:|ζ|
Stalin Thangamani, Dumitru Baleanu, Supprabha Authimoolam, Majeed Ahmad Yousif, Thabet Abdeljawad, Pshtiwan Othman Mohammed   +5 more
doaj   +1 more source

Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]

Mathematica Bohemica
In the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi, Eureka Pattnayak, Rabha Mohamed El-Ashwah   +2 more
doaj   +1 more source

Sigmoid Function In The Space Of Univalent Lambda Pseudo Starlike Function With Sakaguchi Type Functions

, 2016
In this work, the sigmoid function in the space of univalent - peseudo starlike function with Sakaguchi type functions are investigated. The rst few coecient bounds for the class \ (s; t; ) were obtained.
S.O., Olatunji, Olatunji S.O
core   +1 more source