| Summary: | This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">φ</mi></semantics></math></inline-formula> defined by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">φ</mi><mrow><mo>(</mo><mi mathvariant="sans-serif">ζ</mi><mo>)</mo></mrow><mo>=</mo><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi mathvariant="sans-serif">ζ</mi><mo>)</mo></mrow><mi mathvariant="sans-serif">λ</mi></msup></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo><</mo><mi mathvariant="sans-serif">λ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula> maps the open unit disk in the complex plane to a domain symmetric with respect to the real axis in the right-half plane. Using this mapping, we obtain some radius results for a family of starlike functions. It is worth noting that all the presented results are sharp.
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