Geodesic
Sharp estimates for functions with a~pole and a~logarithmic singularity
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 71-75

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We consider functions with a pole and a logarithmic singularity. We obtain sharp estimates for the Schwarzian and the Taylor coefficients of the holomorphic part of such functions. We also describe geometric properties of conformal mappings of the exterior of the unit disc with a cut that connects some boundary point with a point at infinity.
Keywords: conformal mappings, Schwarzian
Mots-clés : coefficient estimates. 
@article{IVM_2011_12_a8,
     author = {F. G. Avkhadiev},
     title = {Sharp estimates for functions with a~pole and a~logarithmic singularity},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--75},
     publisher = {mathdoc},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_12_a8/}
}
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F. G. Avkhadiev. Sharp estimates for functions with a~pole and a~logarithmic singularity. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 71-75. http://geodesic.mathdoc.fr/item/IVM_2011_12_a8/