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
From page
155
To page
158
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
Record number
2556079
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