Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative

نویسندگان

چکیده

Meromorphic functions with a given growth of spherical derivative on the complex plane are described in terms relative location a-points functions. The result obtained allows one to construct an example meromorphic function ? slow Nevanlinna characteristics and arbitrary derivative. In addition, based universality property Riemann zeta-function, we estimate ?(z).

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2021

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-020-05169-2