Geodesic
One generalization of the class of helical functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 59-67

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This paper is devoted to the study of domains whose boundaries are attainable by one-parametric families of curves formed by the rotation of a curve specially chosen for every family. We establish characteristics of analytic functions that map the unit circle on these domains. In addition, we single out subclasses of domains with rectifiable quasiconformal boundaries. We establish certain sufficient conditions for the univalence of functions that are analytic in mentioned domains.
Keywords: one-parametric families of curves, attainability of boundary, quasiconformal mapping
Mots-clés : sufficient univalence conditions. 
@article{IVM_2011_10_a6,
     author = {M. A. Sevodin},
     title = {One generalization of the class of helical functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--67},
     publisher = {mathdoc},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_10_a6/}
}
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M. A. Sevodin. One generalization of the class of helical functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 59-67. http://geodesic.mathdoc.fr/item/IVM_2011_10_a6/