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

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spelling	doaj-87be32d36a9e432ab826db5aadb8598a2020-11-24T21:19:50ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018478579310.1155/S0161171285000862Growth results for a subclass of Bazilevič functionsRabha Md. El-Ashwah0D. K. Thomas1Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 8PP, South Wales, UKDepartment of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 8PP, South Wales, UKFor 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).http://dx.doi.org/10.1155/S0161171285000862Bazilevic functionssubclasses of Sfunctions whose derivative has positive real partclose-to-convex functionscoefficient and length-area estimates.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rabha Md. El-Ashwah D. K. Thomas
spellingShingle	Rabha Md. El-Ashwah D. K. Thomas Growth results for a subclass of Bazilevič functions International Journal of Mathematics and Mathematical Sciences Bazilevic functions subclasses of S functions whose derivative has positive real part close-to-convex functions coefficient and length-area estimates.
author_facet	Rabha Md. El-Ashwah D. K. Thomas
author_sort	Rabha Md. El-Ashwah
title	Growth results for a subclass of Bazilevič functions
title_short	Growth results for a subclass of Bazilevič functions
title_full	Growth results for a subclass of Bazilevič functions
title_fullStr	Growth results for a subclass of Bazilevič functions
title_full_unstemmed	Growth results for a subclass of Bazilevič functions
title_sort	growth results for a subclass of bazilevič functions
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1985-01-01
description	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).
topic	Bazilevic functions subclasses of S functions whose derivative has positive real part close-to-convex functions coefficient and length-area estimates.
url	http://dx.doi.org/10.1155/S0161171285000862
work_keys_str_mv	AT rabhamdelashwah growthresultsforasubclassofbazilevicfunctions AT dkthomas growthresultsforasubclassofbazilevicfunctions
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Growth results for a subclass of Bazilevič functions

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