Wiman-Valiron-type theorem for an entire Dirichlet series with an arbitrary complex sequence of exponents
1 Department of theory of functions and functional analysis, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
2 Department of Physical and Mathematical Sciences, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, 76019, Ukraine
Keywords:
Dirichlet series
Abstract
In this article a Wiman-Valiron's type theorem about estimation of a general term of entire Dirichlet Series with arbitrary complex exponents $λ_n$ by means of its maximum term is proved. Additionally, a new statement concerning the plane measure $\tau_2(E) = \int_E {{dxdy} \over |z|^2} < +∞, z = x + iy$ of an exclusive set $E$ is obtained.
Cite
- ACS Style
- Ovchar, I.; Savchuk , Y.; Skaskiv, O.B. Wiman-Valiron-type theorem for an entire Dirichlet series with an arbitrary complex sequence of exponents. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Ovchar I, Savchuk Y, Skaskiv OB. Wiman-Valiron-type theorem for an entire Dirichlet series with an arbitrary complex sequence of exponents. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Igor Ovchar, Yaroslav Savchuk , Oleg Bogdanovich Skaskiv. 2016. "Wiman-Valiron-type theorem for an entire Dirichlet series with an arbitrary complex sequence of exponents". Bukovinian Mathematical Journal. 4 no. 1-2.
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