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On the Jenkins Circles Covering Theorem for Functions Holomorphic in a Disk

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The well-known Jenkins theorem on values omitted by univalent functions is extended to some meromorphic p-valent functions in the unit disk. The multiplicity of the function covering and the values of the functions at the critical points are taken into consideration.

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Authors and Affiliations

  1. Far Eastern Federal University, Vladivostok, Russia

    V. N. Dubinin

  2. Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

    V. N. Dubinin

Authors
  1. V. N. Dubinin
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Correspondence to V. N. Dubinin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 60–73.

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Dubinin, V.N. On the Jenkins Circles Covering Theorem for Functions Holomorphic in a Disk. J Math Sci 200, 551–558 (2014). https://doi.org/10.1007/s10958-014-1943-7

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  • DOI: https://doi.org/10.1007/s10958-014-1943-7

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