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Majorization Results for Certain Subfamilies of Analytic Functions

Majorization Results for Certain Subfamilies of Analytic Functions

Let <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi>h</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <mi>z</mi> </mrow> </mfenced> </math> and <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msub> <mrow> <mi>h</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <mi>z</mi> </mrow> </mfenced> </math> be two nonvanishing holomorphic functions in the open unit disc …