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- W3216472444 abstract "Abstract Let f be analytic in the unit disc D = { z : | z | < 1} with <?CDATA $f(z)=z+{sum }_{n=2}^{infty }{a}_{n}{z}^{n}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>z</mml:mi> <mml:mo>+</mml:mo> <mml:msubsup> <mml:mi mathvariant=normal>∑</mml:mi> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:mi>∞</mml:mi> </mml:msubsup> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:msup> <mml:mi>z</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> , and for α ≥ 0 and 0 < β ≤ 1, let B 1 ( α, ß ), denote for the class of Bazilevič functions satisfying the expression <?CDATA $|arg frac{{z}^{1-alpha }{f}^{^{prime} }(z)}{f{(z)}^{1-alpha }}|lt frac{beta pi }{2}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mrow> <mml:mo stretchy=false>|</mml:mo> <mml:mi>arg</mml:mi> <mml:mfrac> <mml:mrow> <mml:msup> <mml:mi>z</mml:mi> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>−</mml:mo> <mml:mi>α</mml:mi> </mml:mrow> </mml:msup> <mml:msup> <mml:mi>f</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>f</mml:mi> <mml:msup> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>−</mml:mo> <mml:mi>α</mml:mi> </mml:mrow> </mml:msup> </mml:mrow> </mml:mfrac> <mml:mo stretchy=false>|</mml:mo> <mml:mo><</mml:mo> <mml:mfrac> <mml:mrow> <mml:mi>β</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> </mml:math> . We give sharp estimates for various coefficient problems for functions in B 1 ( α, β ), which unify and extend well-known results for starlike functions, strongly starlike functions and functions whose derivative has positive real part in domain D ." @default.
- W3216472444 created "2021-12-06" @default.
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- W3216472444 date "2021-11-01" @default.
- W3216472444 modified "2023-09-24" @default.
- W3216472444 title "Subordination of functions in subclass of Bazilevič Functions B 1(α, β)" @default.
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- W3216472444 doi "https://doi.org/10.1088/1742-6596/2106/1/012026" @default.
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