2019
Том 71
№ 11

All Issues

Tarasyuk S. I.

Articles: 2
Article (Ukrainian)

Entire functions of order zero with zeros on a logarithmic spiral

Tarasyuk S. I., Zabolotskii N. V., Zabolotskyi M. V.

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 7. - pp. 923-932

We prove the Valiron-type and Valiron – Titchmarsh-type theorems for entire functions of order zero with zeros on a logarithmic spiral.

Article (Ukrainian)

General páley problem

Kondratyuk A. A., Kondratyuk Ya. V., Tarasyuk S. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1996. - 48, № 1. - pp. 25-34

In the class of functions u of finite lower order subharmonic in ℝ p+2,p ∈ ℕ we establish an exact upper bound for $$\mathop {\lim }\limits_{r \to \infty } \inf \frac{{m_q (r,u^ + )}}{{T(r,u)}}, 1< q \le \infty ,$$ whereT(r, u) is a Nevanlinna characteristic of the function u andm q (r, u +) is the integralq-mean of the functionu +,u + = max(u,0), on the sphere of radiusr.