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- W2057457845 abstract "For analytic functions<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$f(z)=z^p+a_{p+1}z^{p+1}+cdots$ id=E1><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mi>z</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mi>z</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mo>⋯</mml:mo></mml:mrow></mml:math>in the open unit disk<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$mathbb{U}$ id=E2><mml:mi mathvariant=double-struck>U</mml:mi></mml:math>and a polynomial<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$Q(z)$ id=E3><mml:mrow><mml:mi>Q</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>of degree<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$n>0$ id=E4><mml:mrow><mml:mi>n</mml:mi><mml:mo>></mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>, the function<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$F(z)=f(z)[Q(z)]^{beta/n}$ id=E5><mml:mrow><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>Q</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>β</mml:mi><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>is introduced. The object of the present paper is to determine the radius of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$p$ id=E6><mml:mi>p</mml:mi></mml:math>-valently strongly starlikeness of order<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$gamma$ id=E7><mml:mi>γ</mml:mi></mml:math>for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$F(z)$ id=E8><mml:mrow><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>." @default.
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- W2057457845 title "Radius of strongly starlikeness for certain analytic functions" @default.
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- W2057457845 doi "https://doi.org/10.1155/s0161171202007378" @default.
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