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Original Articles
On the Radius of Convexity of Functions Whose Derivative has a Positive Real Part
Pavel G. TodorovPGTODOROV@ABV.BGInstitute of Mathematics and Informatics Bulgarian Academy of SciencesAcad. G. Bontchev Str., Block 8, 1113 Sofia, BulgariaView full profile →
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- Received:
- 05 Oct 2003
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2004.10698478
- Pages:
- 35–41
Abstract
In this paper: (i)we give a short proof of the MacGregor theorem for the radius of convexity of the class P’ of the functions stated in the title and indicate all extremal functions;(ii)more generally, we find the radius of convexity of order alpha of the class P’ with all extremal functions;(iii) we find the radius of convexity of the class P’ when the second coefficient is fixed with all extremal functions; (iv) we compare our results with other results.
Subject Classifications
: ClassRadius of convexity of classRadius of convexity of order alpha of classRadius of convexity of class
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