Covering theorems for univalent functions

1986 ◽  
Vol 191 (3) ◽  
pp. 327-349 ◽  
Author(s):  
D. H. Hamilton
Keyword(s):  
Univalent Functions ◽  
Covering Theorems

scholarly journals Harmonic univalent functions defined by post quantum calculus operators

2019 ◽  
Vol 11 (1) ◽  
pp. 5-17 ◽  
Author(s):  
Om P. Ahuja ◽  
Asena Çetinkaya ◽  
V. Ravichandran
Keyword(s):  
Unit Disc ◽  
Univalent Functions ◽  
Extreme Points ◽  
Open Unit ◽  
Open Unit Disc ◽  
Quantum Calculus ◽  
Special Cases ◽  
The Family ◽  
Covering Theorems

Abstract We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.

scholarly journals K-Fold symmetric starlike univalent functions

1985 ◽  
Vol 32 (3) ◽  
pp. 419-436 ◽  
Author(s):  
V. V. Anh
Keyword(s):  
Unit Disc ◽  
Univalent Functions ◽  
Coefficient Bounds ◽  
Radius Of Convexity ◽  
Covering Theorems ◽  
Image Position

This paper establishes the radius of convexity, distortion and covering theorems for the classwhere−1 ≤ B < A ≤ 1, w(0) = 0, |w (z)| < 1 in the unit disc. Coefficient bounds for functions in are also derived.

scholarly journals Covering theorems for univalent functions.

1966 ◽  
Vol 13 (1) ◽  
pp. 41-47
Author(s):  
E. P. Merkes ◽  
W. T. Scott
Keyword(s):  
Univalent Functions ◽  
Covering Theorems

scholarly journals UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS

1994 ◽  
Vol 25 (3) ◽  
pp. 225-230
Author(s):  
B. A. URALEGADDI ◽  
M. D. GANIGI ◽  
S. M. SARANGI
Keyword(s):  
Univalent Functions ◽  
Extreme Points ◽  
Covering Theorems ◽  
Coefficient Inequalities ◽  
Positive Coefficients

Coefficient inequalities, distortion and covering Theorems and extreme points are determined for univalent functions with positive coefficients.

Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles

1976 ◽  
Vol 28 (3) ◽  
pp. 627-631 ◽  
Author(s):  
Donald K. Blevins
Keyword(s):  
Complex Plane ◽  
Jordan Curve ◽  
Univalent Functions ◽  
Cross Ratio ◽  
Covering Theorems ◽  
Extended Complex ◽  
Chordal Distance ◽  
Image Position ◽  
Extended Complex Plane

Let Γ be a Jordan curve in the extended complex plane C. Γ is called a quasiconformal circle if it is the image of a circle by a homeomorphism ƒ which is quasiconformal in a neighborhood of that circle. If q(zi, z2) is the chordal distance from z1 to z2, the chordal cross ratio of a quadruple z1, z2, z3, z4 in C is

Covering Theorems for Classes of Univalent Functions

1973 ◽  
Vol 25 (2) ◽  
pp. 412-419
Author(s):  
Dov Aharonov ◽  
W. E. Kirwan
Keyword(s):  
Univalent Functions ◽  
Steiner Symmetrization ◽  
Covering Theorems ◽  
Special Case ◽  
Class Of Functions

Let denote the class of functions f(z) = z + that are analytic and univalent in and will denote the collection of f ∈ that map U onto a domain that is respectively starlike with respect to the origin and convex.In [4, p. 85] Hayman used Steiner symmetrization to solve a problem, a special case of which is the following.

Certain Subclasses of Bi-Univalent Functions Involving Double Zeta Function

2015 ◽  
Vol 4 (4) ◽  
pp. 28-33
Author(s):  
Dr. T. Ram Reddy ◽  
◽  
R. Bharavi Sharma ◽  
K. Rajya Lakshmi ◽  
◽  
...  
Keyword(s):  
Zeta Function ◽  
Univalent Functions ◽  
Double Zeta
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