In this note we give a rigorous proof by elementary means of the asymptotic behavior of the binomial coefficients. As an application we look at the convergence of the binomial series at the endpoints ...

Masae Shiyomi, Shigeo Takahashi, Jin Yoshimura, A Measure for Spatial Heterogeneity of a Grassland Vegetation Based on the Beta-Binomial Distribution, Journal of Vegetation Science, Vol. 11, No. 5 ...