General Mathematics, Vol. 7, pp. 93-100, 1999


Gheorghe Oros -- On a subclass of starlike functions


Abstract:

In this paper we obtain a sufficient condition expressed by $$(1-\alpha)\f{zf'(z)}{f(z)}+\alpha\left(\f{zf''(z)}{f'(z)}+1\right),$$ such that $f$ satisfies the condition $\left|\ds\f{zf'(z)}{f(z)}-1\right|Full text of the article: