EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 78(92), pp. 79–86 (2005)

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SOME RESULTS OF ANALYTIC FUNCTIONS IN THE UNIT DISC

Y. Polatoglu

Department of Mathematics and Computer Sciences, Faculty of Science and Arts, Istanbul Kültür University, Istanbul, Turkey

Abstract: We investigate the generalization of the starlikeness of complex order and the generalization of convexity of complex order for the analytic functions in the unit disc $D=\{z:|z|<1\}$.

Keywords: starlike functions; starlike functions of order $\alpha $; Caratheodory functions; radius of starlikeness; radius of convexity; Distortion theorem

Classification (MSC2000): 30C45

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Electronic fulltext finalized on: 2 Mar 2006. This page was last modified: 27 Oct 2006.

© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
© 2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition