Simple sufficient conditions for univalence

Authors

  • Milutin Obradović Department of Mathematics, Faculty of Technology and Metallurgy, 4 Karnegijeva Str., 11000 Belgrade, Yugoslavia Author

Keywords:

Starlike, convex, subordinate

Subjects:

30C45

Abstract

For a function f(z)=z+a2z2+, analytic in the unit disc, we find λ>0 such that |f(z)|λ implies starlikeness (Mocanu's problem [2]) or convexity. The given results are sharp.

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Published

1997-10-15