TY - JOUR
A2 - Cahlon, Baruch
AU - Kaur, Manpreet
AU - Gupta, Sushma
AU - Singh, Sukhjit
PY - 2015
DA - 2015/10/04
TI - Geometric Properties of a Class of Analytic Functions Defined by a Differential Inequality
SP - 185635
VL - 2015
AB - Let A be the class of analytic functions f defined in the open unit disk E and normalized by f(0)=f'(0)-1=0. For f(z)/z≠0 in E, let Mα,λ:={f∈A:|-αz2(z/f(z))′′ +f′(z)(z/f(z))2-1|≤λ, z∈E}, where λ>0 and α∈R∖[-1/2,0]. In the present paper, we find conditions under which functions in the class M(α,λ) are starlike of order γ, 0≤γ<1.
SN - 2314-498X
UR - https://doi.org/10.1155/2015/185635
DO - 10.1155/2015/185635
JF - International Journal of Analysis
PB - Hindawi Publishing Corporation
KW -
ER -