2019
Том 71
№ 9

All Issues

Zaionts Yu.

Articles: 2
Brief Communications (Russian)

On the Asymptotics of Some Weierstrass Functions

Kharkevych Yu. I., Korenkov M. E., Zaionts Yu.

↓ Abstract

Ukr. Mat. Zh. - 2015. - 67, № 1. - pp. 135–138

For Weierstrass functions σ(z) and ζ(z), we present the asymptotic formulas valid outside the efficiently constructed exceptional sets of discs that are much narrower than in the known asymptotic formulas.

Brief Communications (Ukrainian)

Nevanlinna characteristics and defective values of the Weierstrass zeta function

Kharkevych Yu. I., Korenkov M. E., Zaionts Yu.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2011. - 63, № 5. - pp. 718-720

We establish the Nevanlinna characteristics of the Weierstrass zeta function and show that none of the values $a \in \overline{C}$ is exceptional in the Nevanlinna sense for this function.