A Subclass of Starlike Functions

  • Ahmad, Faiz (Department of mathematics, Quaid-i-Azam University Islamabad)
  • Received : 1987.01.01
  • Accepted : 1987.06.25
  • Published : 1987.08.01

Abstract

Let M be a positive real number and c a complex numbcr such that $\left|c-1\right|<M{\leq}Re{c}$. Let $f,f(z)=z+a_{2}Z^{2}+...,$ be analytic and univalent in the unit disc. It is said to belong to the class S(c, M) if $\left|zf'(z)/f(z)-c\right|<M$ We find growth and rotation theorems for the class S(c, M).

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