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).
| Original language | English |
|---|---|
| Pages (from-to) | 420-427 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Sciences |
| Volume | 252 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jan 2021 |
Keywords
- 30D30, 30D35
- Nevanlinna characteristics
- Riemann zeta-function
- meromorphic function
- spherical derivative
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics(all)
- Applied Mathematics