A note on Bazilevič functions

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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Bibliographic Details
Main Authors: S. A. Halim, D. K. Thomas
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291001126
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