Results 61 to 70 of about 5,426 (207)

Asymptotic Conformality and Polygonal Approximation

Axioms
Univalent functions with asymptotically conformal extension to the boundary form a subclass of functions with quasiconformal extension with rather special features.
Samuel L. Krushkal
doaj   +1 more source

On certain analytic univalent functions

International Journal of Mathematics and Mathematical Sciences, 2001
We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained.
B. A. Frasin, M. Darus
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Initial Coefficient Behavior of Bi-Univalent Functions Defined Through Bernoulli Polynomial Subordination

Mathematics
The study of coefficient problems for bi-univalent functions continues to play a central role in geometric function theory due to its analytical depth and wide range of applications.
Mohamed Illafe, Abdulmtalb Hussen, Feras Yousef   +2 more
doaj   +1 more source

Coefficient problem for certain subclasses of bi-univalent functions defined by convolution [PDF]

Mathematica Moravica, 2016
In this paper, we consider a general subclass HλΣ (h, β) of bi-univalent functions. Bounds on the first two coefficients اa2ا and اa3ا for functions in HλΣ (h, β) are given. The main results generalize and improve a recent one obtained by Srivastava [18].
Altınkaya Sahsene, Yalçın Sibel
doaj  

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

A Generalization on a Certain Class of Salagean-Type Harmonic Univalent Functions and Distortion Theorems for Fractional Calculus

, 2015
[[abstract]]We define and investigate a new class of Salagean-type harmonic univalent functions. We obtain some properties of this subclass. Furthermore, we give the Hadamard product of several functions and some distortion theorems for fractional ...
Güney, H. Özlem, Owa, Shigeyoshi
core  

Univalent functions and the Riemann mapping theorem

, 1976
A proof of the Riemann mapping theorem is given that depends on variational formulas for univalent functions. The method of proof can be used to simplify the derivation of the ordinary differential equation for extremal univalent functions given by ...
P. R. Garabedian
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A critical investigation of various subclasses of functions whose real part is bounded

International Journal of Mathematics and Mathematical Sciences, 1981
In this paper we investigate various subclasses of univalent analytic functions. We find that many of the subclasses introduced in the recent years are no more new and infact coincide with the class due to Jakubowski.
S. K. Bajpai
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Inclusion Criteria for Subclasses of Functions and Gronwall’s Inequality

, 2016
[[abstract]]A normalized analytic function f is shown to be univalent in the open unit disk D if its second coefficient is sufficiently small and relates to its Schwarzian derivative through a certain inequality. New criteria for analytic functions to be
A. Swaminathan, Rosihan M. Ali, Mahnaz M. Nargesi, V. Ravichandran   +3 more
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