Univalence and starlikeness of nonlinear integral transform of certain class of analytic functions |
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| Authors: | M Obradovi? S Ponnusamy P Vasundhra |
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| Institution: | 1.Department of Mathematics,Faculty of Civil Engineering,Belgrade,Serbia;2.Department of Mathematics,Indian Institute of Technology Madras,Chennai,India |
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| Abstract: | Let U(λ, μ) denote the class of all normalized analytic functions f in the unit disk |z| < 1 satisfying the condition
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$
\frac{{f(z)}}
{z} \ne 0and\left| {f'(z)\left( {\frac{z}
{{f(z)}}} \right)^{\mu + 1} - 1} \right| < \lambda ,\left| z \right| < 1.
$
\frac{{f(z)}}
{z} \ne 0and\left| {f'(z)\left( {\frac{z}
{{f(z)}}} \right)^{\mu + 1} - 1} \right| < \lambda ,\left| z \right| < 1.
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| Keywords: | |
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