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Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives

Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
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ON THE NORM OF PRE-SCHWARZIAN DERIVATIVES OF STRONGLY STARLIKE FUNCTIONS

ON THE NORM OF PRE-SCHWARZIAN DERIVATIVES OF STRONGLY STARLIKE FUNCTIONS
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Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings

Monatshefte für Mathematik, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Bravo, R. Hernández, S. Ponnusamy, O. Venegas   +3 more
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On the inner radius of univalency by pre-Schwarzian derivative

Science in China Series A: Mathematics, 2007
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Cheng, Tao, Chen, Ji-Xiu
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Conformal Radius Has Unique Critical Point when Pre-Schwarzian Derivative is Subordinate to Classical Majorants

Lobachevskii Journal of Mathematics, 2021
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Norm Estimates of the Pre-Schwarzian Derivatives for $$\alpha $$ -Spiral-Like Functions of Order $$\rho $$

Complex Analysis and Operator Theory, 2013
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Aghalary, R., Orouji, Z.
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Hohlov Effects for Pre-Schwarzian Derivatives of Functions in the Gakhov Class

Lobachevskii Journal of Mathematics, 2019
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Norm estimates of the pre-Schwarzian derivatives for two certain subclasses of starlike functions

2022
Summary: Let \(\alpha\in[\pi/2,\pi)\) and \(\gamma_1,\gamma_2\in(0,1]\). For a normalized analytic functions \(f\) in the open unit disc \(\Delta\) we consider \[ \mathcal{M}(\alpha):=\left\{f\in\mathcal{A}: 1+\frac{\alpha-\pi}{2 \sin \alpha}< \mathrm{Re}\left\{\frac{zf'(z)}{f(z)}\right\} < 1+\frac{\alpha}{2\sin \alpha}, z\in\Delta\right\}, \] and ...
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Inequalities on the inner radius of univalency and the norm of pre-Schwarzian derivative

Acta Mathematica Sinica, English Series, 2008
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Cheng, Tao, Kang, Yue Ming, Chen, Ji Xiu
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The norm estimates of pre-schwarzian derivatives of spiral-like functions

Complex Variables, Theory and Application: An International Journal, 2000
For a constant , a normalized analytic function on the unit disk is said to be β-spiral-like if for any point z in the unit disk. In this paper, for such a function f, we shall present the optimal estimate of the norm of f″/f′.
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