Radius problems in the class SL*

  • Janusz Sokól
  • 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)
DOI: 10.1016/j.amc.2009.04.031

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