Convex combination of analytic functions

Convex combination of analytic functions

Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function given by ) = +(1− ).

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Bibliographische Detailangaben
Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2017-03, Vol.15 (1), p.331-339
Hauptverfasser: Cho, Nak Eun, Jain, Naveen Kumar, Ravichandran, V.
Format: Artikel
Sprache:eng
Schlagworte:
30C45
30C80
Analytic functions
Close-to-convex function
Convex combination
Convex function
Convexity
Convolution
Lemniscate of Bernoulli
Radius of starlikeness
Starlike function
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Beschreibung
Zusammenfassung:Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function given by ) = +(1− ).
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0021