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Starlike function of complex order. (English) Zbl 0596.30017
The authors consider the class of normalized analytic functions f satisfying $Re\{1+b^{-1}(zf'(z)/f(z)-1)\}>0$ inside the unit disc for a nonzero complex number b. Using the properties of functions with positive real part in the unit disc several properties of the above mentioned class are investigated.
Reviewer: V.Karunakaran

##### MSC:
 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
##### Keywords:
functions with positive real part