Extremal functions for starlike functions and convex functions

Abstract

In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2^r+1)   defined on the unit disk using analytic and univalent functions.

Keywords

• Starlike function,convex function,analytic function

Kaynakça

1. M. Nunokawa , M. Aydoğan , K. Kuroki , I. Yildiz , S. Owa, ” On the order of close-to-convexity of convex functions of order alpha”, Journal of Inequalities and Applications 2012, 2012:245 doi:10.1186/1029-242X-2012-245.
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4. K. Kuroki, S. Owa and I. Yildiz ” On starlikeness of confluent hypergeometric functions” International Journal of Applied Mathematics, Volume 25 No. 4 2012, 583-589. M.S. Robertson,”On the Theory of Univalent Functions” , Ann. of Math,37(1936), 374-408.