Title of article :
On Starlikeness of Libera Transform
Author/Authors :
NUNOKAWA, MAMORU University of Gunma, Japan , SOKÓŁ, JANUSZ Rzeszów University of Technology - Department of Mathematics, Poland
Abstract :
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f (0) = f ʹ(0) – 1 = 0. In this paper conditions are determined for starlikeness of the Libera integral of functions such that ⎪arg {f ʹ}⎪ δ in D. The results of Miller and Mocanu (2002) on Libera transform of functions with bounded turning are improved.
Keywords :
Nunokawa’s lemma , starlike functions , strongly starlike functions
