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- W2022508306 abstract "Sufficient conditions on a sequence<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mo stretchy=false>{</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo stretchy=false>}</mml:mo></mml:mrow></mml:math>of nonnegative numbers are obtained that ensures<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><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:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>∞</mml:mi></mml:msubsup><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:msup><mml:mi>z</mml:mi><mml:mi>k</mml:mi></mml:msup></mml:mrow></mml:mrow></mml:math>is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit. Conditions for close to convexity and convexity in the direction of the imaginary axis are also established. These results are applied to investigate the starlikeness of functions involving the Gaussian hypergeometric functions." @default.
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- W2022508306 date "2012-01-01" @default.
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- W2022508306 title "Coefficient Conditions for Starlikeness of Nonnegative Order" @default.
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