Certain theorems involving differential superordination and sandwich-type results

Hardeep Kaur

Abstract


To obtain the main result of the present paper, we use the
technique of differential superordination. As special cases of our main
result, we obtain sufficient conditions for f ∈ A to be Φ-like, parabolic
Φ-like, starlike, parabolic starlike, close-to-convex and uniform close-to-
convex. We also obtain sandwich-type results regarding these functions.
For demonstration of the results, we have plotted the images of open
unit disk under certain functions using Mathematica 7.0.


Keywords


Analytic function, differential superordination, Φ-like function, starlike function, close-to-convex function.

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2024.3.05

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