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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2020 Volume 5, Issue 1, Pages 56–69 (Mi chfmj168)

This article is cited in 2 papers

Mathematics

Two-sided estimates of the central binomial coefficient

A. Yu. Popov

Lomonosov Moscow State University, Moscow, Russia

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.

UDC: 517.521.1+517.581+519.114

Received: 29.01.2020
Revised: 02.03.2020

DOI: 10.24411/2500-0101-2020-15105



© Steklov Math. Inst. of RAS, 2025