The Schwarzian Derivative of a
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 865-872

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We show that a comparison of the capacities of suitable condensers gives an inequality for the Schwarzian derivatives of a holomorphic $p$-valent function defined on the unit disk and ranging in a given domain of the complex plane. If that domain is a disk as well and the function is univalent, then this inequality essentially coincides with the classical Nehari inequality. The cases of equality in the resulting relation are discussed.
Keywords: Schwarzian derivative, $p$-valent function, holomorphic function, condenser capacity, Green's function.
@article{MZM_2020_107_6_a5,
     author = {V. N. Dubinin},
     title = {The {Schwarzian} {Derivative} of a},
     journal = {Matemati\v{c}eskie zametki},
     pages = {865--872},
     publisher = {mathdoc},
     volume = {107},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a5/}
}
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V. N. Dubinin. The Schwarzian Derivative of a. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 865-872. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a5/