Certain sufficient conditions for phi-like functions in a parabolic region

To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for $f\in\mathcal A$ to be $\phi-$like, starlike and close-to-convex in a parabolic region.

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Veröffentlicht in:Studia Universitatis Babeș-Bolyai. Mathematica 2023-07, Vol.68 (2), p.279-293
Hauptverfasser: Kaur, Hardeep, Brar, Richa, Billing, Sukhwinder Singh
Format: Artikel
Sprache:eng
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Zusammenfassung:To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for $f\in\mathcal A$ to be $\phi-$like, starlike and close-to-convex in a parabolic region.
ISSN:0252-1938
2065-961X
DOI:10.24193/subbmath.2023.2.05