Results 21 to 30 of about 5,311 (200)

A class of univalent functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
A sharp coefficient estimate is obtained for a class D ( α
Caplinger, T. R., Causey, W. M.
openaire   +2 more sources

On the Derivative of a Univalent Function [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
Various results are known concerning the rate of growth of the derivative of a function f(z), analytic and univalent in the circle Izi
Lohwater, A. J., Piranian, George
openaire   +1 more source

Subordination by Univalent Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
Let K K be the class of functions
Singh, Sunder, Singh, Ram
openaire   +1 more source

Distortion of boundary sets under inner functions and applications [PDF]

open access: yes, 1992
10 pages, no figures.-- MSC2000 codes: 30C85, 30D50.MR#: MR1183352 (93k:30014)Zbl#: Zbl 0765.30011An inner function is a bounded holomorphic function from the unit disc $\Delta$ of the complex plane such that the radial boundary values have modulus 1 a.e.
Pestana, Domingo, Fernández, José L.
core   +1 more source

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

open access: yesInternational 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   +2 more
doaj   +1 more source

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

open access: yesMathematics, 2019
In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya   +2 more
doaj   +1 more source

Initial Coefficients of Biunivalent Functions

open access: yesAbstract 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   +2 more
doaj   +1 more source

Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions

open access: yesScience Journal of University of Zakho, 2022
This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients  and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah   +1 more
doaj   +1 more source

On the coefficients of R-univalent functions [PDF]

open access: yesDuke Mathematical Journal, 1955
(4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
openaire   +3 more sources

On a subclass of univalent functions II [PDF]

open access: yesAnnales Polonici Mathematici, 1983
[For part I see the review above.] Let f be analytic in the unit disc E with \(f(0)=f'(0)-1=0,\) and \(f(z)f'(z)/z\neq 0\) for z in E. Using the standard technique the authors have obtained an integral representation formula for \(f\in C(\alpha,\lambda)\) and estimates for the coefficients of \(f\in C(\alpha,\lambda)\), where \(C(\alpha\),\(\lambda ...
Padmanabhan, K. S., Bharati, R.
openaire   +2 more sources

Home - About - Disclaimer - Privacy