A NEW DIFFERENTIAL INEQUALITY

Authors : B A FRASİN

Pages : 7-10

View : 19 | Download : 14

Publication Date : 2007-01-01

Article Type : Research Paper

Abstract :We find conditions on the complex-valued function A : U → C defined in the unit disc U such that the differential inequality Re [Ainsert ignore into journalissuearticles values(z);p 2 insert ignore into journalissuearticles values(z); − αinsert ignore into journalissuearticles values(zp 0 insert ignore into journalissuearticles values(z); − 1);2 + 2βinsert ignore into journalissuearticles values(zp 0 insert ignore into journalissuearticles values(z););2 + γ] > 0 implies Re pinsert ignore into journalissuearticles values(z); > 0, where p ∈ H[1, n], α, β ∈ C and n is a positive integer.
Keywords : Differential subordination, Dominant