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On rotation of the image of sphere under mapping by a meromorphic function

  • Complex Analysis
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Abstract

The paper studies the rotation of the image of the sphere |z| = r under mappings by functions of the form w(z) − p(z), where w(z) is an entire meromorphic function, while p(z) is a polynomial. In terms of rotations, some analogs of the Nevanlinna Second Fundamental Theorem are established.

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References

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Correspondence to V. G. Petrosyan.

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Original Russian Text © V.G.Petrosyan, 2011, published in Izvestiya NAN Armenii. Matematika, 2011, No. 6, pp. 49–66.

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Petrosyan, V.G. On rotation of the image of sphere under mapping by a meromorphic function. J. Contemp. Mathemat. Anal. 46, 305–312 (2011). https://doi.org/10.3103/S1068362311060045

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  • DOI: https://doi.org/10.3103/S1068362311060045

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