Geodesic
Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 48-57

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A method is proposed that allows us to obtain the exact regions of mutual variation of Taylor coefficients of holomorphic self-maps of a disc with an interior fixed point and an arbitrary finite set of different boundary fixed points. Based on this method, exact inequalities for the first and second coefficients are obtained.
Keywords: holomorphic mapping, fixed points, angular derivative
Mots-clés : coefficient regions. 
@article{IVM_2023_5_a5,
     author = {O. S. Kudryavtseva},
     title = {Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {48--57},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_5_a5/}
}
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O. S. Kudryavtseva. Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 48-57. http://geodesic.mathdoc.fr/item/IVM_2023_5_a5/