Certain Conditions for Strongly Starlike and Strongly Convex Functions

In the present paper, we investigate a differential subordination involving multiplier transformation related to a sector in the open unit disk E = {z : |z| < 1}. As special cases to our main result, certain sufficient conditions for strongly starlike and strongly convex functions are obtained.

Authors:

• Sukhwinder Singh Billing
• Sushma Gupta
• Sukhjit Singh Dhaliwal

Keywords:

• Analytic function
• Multiplier transformation
• Strongly starlike function
• Strongly convex function.

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