scholarly journals Harmonic mappings of bounded boundary rotation

2017 ◽  
Vol 146 (3) ◽  
pp. 1113-1121 ◽  
Author(s):  
D. Bshouty ◽  
A. Lyzzaik ◽  
F. M. Sakar
Keyword(s):  
Harmonic Mappings ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

On the class of harmonic mappings which is related to the class of bounded boundary rotation

2015 ◽  
Vol 267 ◽  
pp. 790-794
Author(s):  
Yaşar Polatog̃lu ◽  
Melike Aydog̃an ◽  
Yasemin Kahramaner
Keyword(s):  
Harmonic Mappings ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

Harmonic mappings related to the bounded boundary rotation

2014 ◽  
Vol 8 ◽  
pp. 2837-2843
Author(s):  
Asena Cetinkaya ◽  
Yasemin Kahramaner ◽  
Yasar Polatoglu
Keyword(s):  
Harmonic Mappings ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

Multivalent and Meromorphic Functions of Bounded Boundary Rotation

1975 ◽  
Vol 27 (1) ◽  
pp. 186-199 ◽  
Author(s):  
Ronald J. Leach
Keyword(s):  
Critical Points ◽  
Analytic Functions ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

The classVk(p). We generalize the class Vk of analytic functions of bounded boundary rotation [8] by allowing critical points in the unit disc U.Definition. Let f(z) = aqzq + . . . (q 1) be analytic in U. Then f(z) belongs to the class Vk(p) if for r sufficiently close to 1,andWe note that (1.1) implies that / has precisely p — 1 critical points in U.

Coefficients of Symmetric Functions of Bounded Boundary Rotation

1974 ◽  
Vol 26 (6) ◽  
pp. 1351-1355 ◽  
Author(s):  
Ronald J. Leach
Keyword(s):  
Unit Disc ◽  
Symmetric Functions ◽  
The Family ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation ◽  
Image Position

Let denote the family of all functions of the formthat are analytic in the unit disc U, f′(z) ≠ 0 in U and f maps U onto a domain of boundary rotation at most . Recently Brannan, Clunie and Kirwan [2] and Aharonov and Friedland [1] have solved the problem of estimating |amp+1| for all , provided m = 1.

scholarly journals On subclasses of close-to-convex functions of higher order

1992 ◽  
Vol 15 (2) ◽  
pp. 279-289 ◽  
Author(s):  
Khalida Inayat Noor
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Higher Order ◽  
Arc Length ◽  
Covering Theorem ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

The classesTk(ρ),0≤ρ<1,k≥2, of analytic functions, using the classVk(ρ)of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We also discuss some properties of the classVk(ρ)including distortion and coefficient results.

Sign in / Sign up

Export Citation Format

Share Document