A note on Bazilevič functions

Halim, S. A.; Thomas, D. K.

doi:https://doi.org/10.1155/S0161171291001126

International Journal of Mathematics and Mathematical Sciences

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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

S. A. Halim

¹ and D. K. Thomas¹

¹Department of Mathematics and Computer Science, University of Swansea, Singleton Park, UK

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)α−1f′(z)>0 for z∈D. The sharp lower bound for Re(f(z)/z)α is obtained and the result is generalized to some iterated integral operators.

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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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