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Chapter 34: Stirling numbers

      https://doi.org/10.1142/9789814612166_0034Cited by:0 (Source: Crossref)
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      Abstract:

      We describe a method for obtaining an asymptotic expansion of both Stirling numbers and for large values of n. The expansions are obtained by using a modification of the saddle point method, and are valid uniformly for 0 ≤ m ≤ n. Short tables are given to show the results for n = 10. These experiments confirm the uniform character of our estimates.