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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2020, Volume 5, Issue 1, Pages 56–69
DOI: https://doi.org/10.24411/2500-0101-2020-15105 (Mi chfmj168) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Two-sided estimates of the central binomial coefficient

A. Yu. Popov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (750 kB) Citations (2)
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DOI: https://doi.org/10.24411/2500-0101-2020-15105
Abstract: The previous two-sided estimates of the central binomial coefficient are strengthened. The established boundaries are sufficiently exact. They act immediately on the sequence $C_ {2n} ^ n$ for all numbers $n\in\mathbb{N}$. The results can be used in mathematical analysis, combinatorics and probability theory.
Keywords: combinatorial values, central binomial coefficient, two-sided estimates, asymptotic expansion, enveloping series.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00236_a
The work is supported by the Russian Foundation of Basic Research, project 18-01-00236.
Received: 29.01.2020
Revised: 02.03.2020
Document Type: Article
UDC: 517.521.1+517.581+519.114
Language: Russian
Citation: A. Yu. Popov, “Two-sided estimates of the central binomial coefficient”, Chelyab. Fiz.-Mat. Zh., 5:1 (2020), 56–69
Citation in format AMSBIB
\Bibitem{Pop20}
\by A.~Yu.~Popov
\paper Two-sided estimates of the central binomial coefficient
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2020
\vol 5
\issue 1
\pages 56--69
\mathnet{http://mi.mathnet.ru/chfmj168}
\crossref{https://doi.org/10.24411/2500-0101-2020-15105}
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