Growth results for a subclass of Bazilevič functions

Growth results for a subclass of Bazilevič functions

For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α). For B(α), correct growth estimates in terms of the area function are unknown. Several results in this directio...

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Bibliographic Details
Main Authors: Rabha Md. El-Ashwah, D. K. Thomas
Format: Article
Language:English
Published: Hindawi Limited 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Bazilevic functions
subclasses of S
functions whose derivative has positive real part
close-to-convex functions
coefficient and length-area estimates.
Online Access:http://dx.doi.org/10.1155/S0161171285000862
Description
Summary:For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α). For B(α), correct growth estimates in terms of the area function are unknown. Several results in this direction are given for B1(12).
ISSN:0161-1712
1687-0425

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