scholarly journals New Criteria for Meromorphic Starlikeness and Close-to-Convexity

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 847
Author(s):  
Ali Ebadian ◽  
Nak Eun Cho ◽  
Ebrahim Analouei Adegani ◽  
Sibel Yalçın
Keyword(s):  
Starlike Functions ◽  
Current Paper ◽  
Strongly Starlike Functions ◽  
Strongly Starlike ◽  
New Criteria

The main purpose of current paper is to obtain some new criteria for meromorphic strongly starlike functions of order α and strongly close-to-convexity of order α . Furthermore, the main results presented here are compared with the previous outcomes obtained in this area.

scholarly journals On the Fekete-Szegö problem

2000 ◽  
Vol 24 (9) ◽  
pp. 577-581 ◽  
Author(s):  
B. A. Frasin ◽  
Maslina Darus
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Upper Bound ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Strongly Starlike Functions ◽  
Strongly Starlike

Letf(z)=z+a2z2+a3z3+⋯be an analytic function in the open unit disk. A sharp upper bound is obtained for|a3−μa22|by using the classes of strongly starlike functions of orderβand typeαwhenμ≥1.

scholarly journals Growth Theorems for a Subclass of Strongly Spirallike Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yan-Yan Cui ◽  
Chao-Jun Wang ◽  
Si-Feng Zhu
Keyword(s):  
Unit Disk ◽  
Complex Plane ◽  
Starlike Functions ◽  
Geometric Properties ◽  
Strongly Starlike Functions ◽  
Strongly Starlike ◽  
Spirallike Functions ◽  
Analytic Mappings

In this paper we consider a subclass of strongly spirallike functions on the unit diskDin the complex planeC, namely, strongly almost spirallike functions of typeβand orderα. We obtain the growth results for strongly almost spirallike functions of typeβand orderαon the unit diskDinCby using subordination principles and the geometric properties of analytic mappings. Furthermore we get the growth theorems for strongly almost starlike functions of orderαand strongly starlike functions on the unit diskDofC. These growth results follow the deviation results of these functions.

scholarly journals Criteria for Strongly Starlike Functions

ISRN Geometry ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-8
Author(s):  
Neng Xu
Keyword(s):  
Unit Disk ◽  
Starlike Functions ◽  
Differential Subordination ◽  
Strongly Starlike Functions ◽  
Strongly Starlike ◽  
Differential Subordinations

Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m)(z∈U) implies zf'(z)/f(z)≺1+z/1-zβ. Some useful consequences of this result are also given.

scholarly journals Argument es-timates of strongly starlike functions associated with Noor-integral operator

2009 ◽  
Vol 40 (1) ◽  
pp. 7-13
Author(s):  
T. N. Shanmugam ◽  
S. Sivasubramanian ◽  
B. A. Frasin
Keyword(s):  
Integral Operator ◽  
Starlike Functions ◽  
Strongly Starlike Functions ◽  
Strongly Starlike

The purpose of this present paper is to derive some properties of a certain new sub-classes of strongly starlike functions defined by the Noor integral operator. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Strongly starlike functions associated with a new operator

2017 ◽  
Author(s):  
Yuzaimi Yunus ◽  
Ajab Akbarally ◽  
Suzeini Abdul Halim
Keyword(s):  
Starlike Functions ◽  
Strongly Starlike Functions ◽  
Strongly Starlike
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