International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 864547 | https://doi.org/10.1155/S0161171203205330

Ding-Gong Yang, Jin-Lin Liu, "On Sakaguchi functions", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 864547, 9 pages, 2003. https://doi.org/10.1155/S0161171203205330

On Sakaguchi functions

Received20 May 2002

Abstract

Let Ss(α)(0α<1/2) be the class of functions f(z)=z+ which are analytic in the unit disk and satisfy there Re{zf(z)/(f(z)f(z))}>α. In the present paper, we find the sharp lower bound on Re{(f(z)f(z))/z} and investigate two subclasses S0(α) and T0(α) of Ss(α). We derive sharp distortion inequalities and some properties of the partial sums for functions in the classes S0(α) and T0(α).

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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