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Stirling’s Approximation for Central Extended Binomial Coefficients

Steffen Eger
The American Mathematical Monthly
Vol. 121, No. 4 (April 2014), pp. 344-349
DOI: 10.4169/amer.math.monthly.121.04.344
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.04.344
Page Count: 6
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Stirling’s Approximation for Central Extended Binomial Coefficients
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Abstract

Abstract We derive asymptotic formulas for central extended binomial coefficients, which are generalizations of binomial coefficients, using the distribution of the sum of independent discrete uniform random variables with the Central Limit Theorem and a local limit variant.

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