On Certain Results Involving a Multiplier Transformation in a Parabolic Region

Document Type: Original Article

Authors

Department of Mathematics, Sri Guru Granth Sahib World University , Fatehgarh Sahib-140407, Punjab, India.

Abstract

We, here, obtain certain results in subordination form involving a multiplier transformation in a parabolic region. In particular, using different dominants in our main result, we derive certain results on parabolic starlikeness, starlikeness, convexity, uniform convexity, strongly starlikeness, close-to-convexity and uniform close-to-convexity of p-valent analytic functions as well as univalent analytic functions.

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