Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane
- Rosihan M. Ali, Naveen K. Jain, V. Ravichandran
- Applied Mathematics and Computation
- 2012
1 Excerpt
Radius problems in the class SL*
- Published 2009 in Applied Mathematics and Computation
Abstract
Let SL denote the class of all analytic functions f in the unit disc U with the normalization f ð0Þ 1⁄4 f 0ð0Þ 1 1⁄4 0 and satisfying the condition . All righ zf ðzÞ=f ðzÞ 2 1 < 1; z 2 U; thus zf ðzÞ=f ðzÞ is in the interior of the right half of the lemniscate of Bernoulli ðx2 þ y2Þ 2ðx2 y2Þ 1⁄4 0. The relations between SL and others classes geometrically… (More)