A NEW DIFFERENTIAL INEQUALITY
Authors : B. A. Frasin
Pages : 7-10
View : 11 | Download : 4
Publication Date : 2007-01-01
Article Type : Research
Abstract :We find conditions on the complex-valued function A : U → C defined in the unit disc U such that the differential inequality Re [A(z)p 2 (z) − α(zp 0 (z) − 1)2 + 2β(zp 0 (z))2 + γ] > 0 implies Re p(z) > 0, where p ∈ H[1, n], α, β ∈ C and n is a positive integer.Keywords : Differential subordination, Dominant