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Several inequalities for the Schwarzian derivative of a bounded analytic function

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ABSTRACT If f is an analytic self-map of the open unit disc , then its hyperbolic derivative and the Schwarzian derivative satisfy the inequality for all . The two-point version… Click to show full abstract

ABSTRACT If f is an analytic self-map of the open unit disc , then its hyperbolic derivative and the Schwarzian derivative satisfy the inequality for all . The two-point version of this inequality is presented in both interior and boundary cases.

Keywords: analytic function; schwarzian derivative; derivative bounded; bounded analytic; inequalities schwarzian; several inequalities

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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