Stirling’s Approximation for Central Extended Binomial Coefficients

DOI10.4169/amer.math.monthly.121.04.344zbMath1344.11028DBLPjournals/tamm/Eger14arXiv1203.2122OpenAlexW2962844054WikidataQ58303117 ScholiaQ58303117MaRDI QIDQ2928626

Steffen Eger

Publication date: 10 November 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2122

zbMATH Keywords

random variablescentral limit theorembinomial coefficientsStirling approximationextended binomial coefficients

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Asymptotic results on arithmetic functions (11N37)

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Unnamed Item ⋮ Stirling's formula for gamma functions, bounds for ratios of gamma functions, beta functions and percentiles of a studentized sample mean: a synthesis with new results ⋮ Gamma and Factorial in the Monthly ⋮ Mixed-integer optimal control problems with switching costs: a shortest path approach ⋮ Chance Encounters with Large Polynomials ⋮ An analytic approach to maximize entropy for computing equilibrium densities of k-mers on linear chains

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