Certain sufficient conditions for \(\varphi\)-like functions in a parabolic region

Hardeep Kaur, Richa Brar, Sukhwinder Singh Billing

Abstract


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 \(f\in A\) to be \(\varphi\)-like, starlike and close-to-convex in a parabolic region.

Keywords


Analytic function; differential subordination; parabolic φ like func- tion; parabolic starlike function; close-to-convex function

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.2.05

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