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Meromorphic functions with a given growth of a spherical derivative on the complex plane are described in terms of the relative location of a-points of functions. The result obtained allows… Click to show full abstract
Meromorphic functions with a given growth of a spherical derivative on the complex plane are described in terms of the relative location of a-points of functions. The result obtained allows one to construct an example of a meromorphic function in ℂ with a slow growth of Nevanlinna characteristics and arbitrary growth of the spherical derivative. In addition, based on the universality property of the Riemann zeta-function, we estimate the growth of the spherical derivative of ζ(z).
Keywords:
slow growth;
spherical derivative;
growth spherical;
meromorphic functions;
growth nevanlinna;
growth
Journal Title: Journal of Mathematical Sciences
Year Published: 2021
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Journal Title: Journal of Mathematical Sciences
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!