International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1991 / Article

Open Access

Volume 14 |Article ID 604373 | https://doi.org/10.1155/S0161171291001126

S. A. Halim, D. K. Thomas, "A note on Bazilevič functions", International Journal of Mathematics and Mathematical Sciences, vol. 14, Article ID 604373, 3 pages, 1991. https://doi.org/10.1155/S0161171291001126

A note on Bazilevič functions

Received05 May 1989

Abstract

For α>0, let B1(α) be the class of normalized analytic functions defined in the open unit disc D satisfying Re(f(z)/z)α1f(z)>0 for zD. The sharp lower bound for Re(f(z)/z)α is obtained and the result is generalized to some iterated integral operators.

Copyright © 1991 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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