Nikola TUNESKİ, Teodor BULBOAC?, Biljana TUNESKA JOLEVSKA

7095

Sharp results on linear combination of simple expressions of analytic functions

In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
Keywords:

analytic, univalent linear combination, differential inequality, differential subordination,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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Nikola TUNESKİ, Teodor BULBOAC?, Biljana TUNESKA JOLEVSKA