Covering theorems for univalent functions

1986 ◽  
Vol 191 (3) ◽  
pp. 327-349 ◽  
Author(s):  
D. H. Hamilton
2019 ◽  
Vol 11 (1) ◽  
pp. 5-17 ◽  
Author(s):  
Om P. Ahuja ◽  
Asena Çetinkaya ◽  
V. Ravichandran

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.


1985 ◽  
Vol 32 (3) ◽  
pp. 419-436 ◽  
Author(s):  
V. V. Anh

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.


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

1994 ◽  
Vol 25 (3) ◽  
pp. 225-230
Author(s):  
B. A. URALEGADDI ◽  
M. D. GANIGI ◽  
S. M. SARANGI

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


1976 ◽  
Vol 28 (3) ◽  
pp. 627-631 ◽  
Author(s):  
Donald K. Blevins

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


1973 ◽  
Vol 25 (2) ◽  
pp. 412-419
Author(s):  
Dov Aharonov ◽  
W. E. Kirwan

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.


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

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