Variability Regions for the Third Derivative of Bounded Analytic Functions
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-021-01162-3
Abstract: Let $z_0$ and $w_0$ be given points in the open unit disk $\mathbb{D}$ with $|w_0| < |z_0|$, and $\mathcal{H}_0$ be the class of all analytic self-maps $f$ of $\mathbb{D}$ normalized by $f(0)=0$. In this paper,… read more here.
Keywords: regions third; variability; derivative bounded; bounded analytic ... See more keywords
Several inequalities for the Schwarzian derivative of a bounded analytic function
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DOI: 10.1080/17476933.2018.1530663
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… read more here.
Keywords: analytic function; schwarzian derivative; derivative bounded; bounded analytic ... See more keywords