Geodesic
Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points
Matematičeskie zametki, Tome 113 (2023) no. 5, pp. 731-737

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On the class of holomorphic self-mappings of the unit disk with an internal and a boundary fixed point, we consider the problem of describing the domains of Taylor coefficients depending on the values of the angular derivative at the boundary fixed point. An optimal horocycle containing the domain of the second coefficient is found.
Keywords: holomorphic mapping, fixed points, angular derivative
Mots-clés : domains of coefficients. 
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     title = {Estimate of the {Second} {Coefficient} of {Holomorphic} {Mappings} of a {Disk} into {Itself} with {Two} {Fixed} {Points}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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O. S. Kudryavtseva; A. P. Solodov. Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points. Matematičeskie zametki, Tome 113 (2023) no. 5, pp. 731-737. http://geodesic.mathdoc.fr/item/MZM_2023_113_5_a7/