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Stirling's Approximation for Central Extended Binomial Coefficients

Journal

AMERICAN MATHEMATICAL MONTHLY
Volume 121, Issue 4, Pages 344-349

Publisher

TAYLOR & FRANCIS INC
DOI: 10.4169/amer.math.monthly.121.04.344

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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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