Abstract:
We establish exact estimates relating the classical densities of complex sequences (ordinary and averaged) with relative densities and lacunarity and sparsity indices.
Keywords:
the upper and lower (average) densities, lacunarity and sparsity indices of sequence.
\Bibitem{Bra13}
\by G.~G.~Braichev
\paper Exact relationships between certain characteristics of growth for complex sequences
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 4
\pages 16--29
\mathnet{http://mi.mathnet.ru/eng/ufa218}
\crossref{https://doi.org/10.13108/2013-5-4-16}
\elib{https://elibrary.ru/item.asp?id=20930473}
Linking options:
https://www.mathnet.ru/eng/ufa218
https://doi.org/10.13108/2013-5-4-16
https://www.mathnet.ru/eng/ufa/v5/i4/p17
This publication is cited in the following 4 articles:
Maksim V. Kukushkin, “On the Essential Decreasing of the Summation Order in the Abel-Lidskii Sense”, Mathematics, 13:7 (2025), 1205
G. G. Braichev, “Joint estimates for zeros and Taylor coefficients of entire function”, Ufa Math. J., 13:1 (2021), 31–45
G. G. Braichev, “On Stolz's theorem and its conversion”, Eurasian Math. J., 10:3 (2019), 8–19
G. G. Braichev, V. B. Sherstyukov, “Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets”, J. Math. Sci., 250:3 (2020), 419–453
Citation in format AMSBIB
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