A cardioid domain and starlike functions

We introduce and study a class of starlike functions defined by S ℘ ∗ : = f ∈ A : z f ′ ( z ) f ( z ) ≺ 1 + z e z = : ℘ ( z ) , where ℘ maps the unit disk onto a cardioid domain. We find the radius of convexity of ℘ ( z ) and establish the inclusion relations between the class S ℘ ∗ and some well-kn...

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Veröffentlicht in:	Analysis and mathematical physics 2021-06, Vol.11 (2), Article 54
Hauptverfasser:	Kumar, S. Sivaprasad, Kamaljeet, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Convexity Domains Mathematical Methods in Physics Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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