Convex and starlike criteria

We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.

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Bibliographic Details
Main Author: Herb Silverman
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299220753
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author Herb Silverman
author_facet Herb Silverman
author_sort Herb Silverman
collection DOAJ
description We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
format Article
id doaj-art-4538346166c14ad294f776ebce57d688
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1999-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4538346166c14ad294f776ebce57d6882025-02-03T05:46:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-01221757910.1155/S0161171299220753Convex and starlike criteriaHerb Silverman0Department of Mathematics, University of Charleston, Charleston 29424, SC, USAWe investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.http://dx.doi.org/10.1155/S0161171299220753Univalentstarlikeconvex.
spellingShingle Herb Silverman
Convex and starlike criteria
International Journal of Mathematics and Mathematical Sciences
Univalent
starlike
convex.
title Convex and starlike criteria
title_full Convex and starlike criteria
title_fullStr Convex and starlike criteria
title_full_unstemmed Convex and starlike criteria
title_short Convex and starlike criteria
title_sort convex and starlike criteria
topic Univalent
starlike
convex.
url http://dx.doi.org/10.1155/S0161171299220753
work_keys_str_mv AT herbsilverman convexandstarlikecriteria