Zobrazeno 1 - 8
of 8
pro vyhledávání: '"M. V. Zabolots'kyi"'
Publikováno v:
Ukrainian Mathematical Journal. 70:1063-1074
We prove the Valiron-type and Valiron–Titchmarsh-type theorems for entire functions of order zero with zeros on a logarithmic spiral.
Autor:
M. R. Mostova, M. V. Zabolots’kyi
Publikováno v:
Ukrainian Mathematical Journal. 68:570-582
We select subclasses of zero-order entire functions f for which we present sufficient conditions for the existence of the $$ \upsilon $$ -density of zeros of f in terms of the asymptotic behavior of the logarithmic derivative F and regular growth of
Autor:
M. R. Mostova, M. V. Zabolots’kyi
Publikováno v:
Ukrainian Mathematical Journal. 66:530-540
For an entire function of zero order, we establish the relationship between the angular density of zeros, the asymptotics of logarithmic derivative, and the regular growth of its Fourier coefficients.
Autor:
O. V. Bodnar, M. V. Zabolots’kyi
Publikováno v:
Ukrainian Mathematical Journal. 62:1028-1039
For entire functions whose zero counting functions are slowly increasing, we establish criteria for the regular growth of their logarithms of moduli and arguments in the metric of L p [0, 2π].
Autor:
M. V. Zabolots’kyi
Publikováno v:
Ukrainian Mathematical Journal. 58:937-944
We obtain sufficient conditions under which the Julia lines of entire functions of slow growth do not have finite exceptional values.
Autor:
O. I. Borova, M. V. Zabolots'kyi
Publikováno v:
Ukrainian Mathematical Journal. 55:873-884
We obtain new asymptotic relations for entire functions of finite order with zeros on a ray under the condition of regular growth for the counting function of their zeros. These relations improve the well-known results of Valiron.
Autor:
M. V. Zabolots'kyi
Publikováno v:
Ukrainian Mathematical Journal. 53:1910-1919
Under a fairly general condition on the behavior of a Borel measure,we obtain unimprovable asymptotic formulas for its logarithmic potential.
Autor:
M. V. Zabolots'kyi
Publikováno v:
Ukrainian Mathematical Journal. 52:1882-1895
We find the asymptotics as z→ 1 for the Blaschke product with positive zeros the counting function of which n(t) is slowly increasing, i.e., n((t+ 1)/2) ∼ n(t) as t→ 1.