A NOTE ON SOME CLASSES OF FUNCTIONS
RELATED TO THE CLASS OF THE CONVEX FUNCTIONS
Donka Pashkouleva
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Block 8, Sofia 1113, BULGARIA
Abstract. In this article the author continues the examination of the classes $V_k$ and $C_k^*$ of functions univalent in the unit disc. In addition to the already obtained sharp growth and distortion results for these classes, we provide a length-area estimate for the class $C_k^*$.
AMS Subject Classification: 30C45
Key Words and Phrases: univalent functions, convex functions


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DOI: 10.12732/ijam.v29i3.3

Volume: 29
Issue: 3
Year: 2016