[PDF][PDF] Asymptotic expansions for the Stirling numbers of the first kind
HK Hwang - J. Comb. Theory, Ser. A, 1995 - Citeseer
J. Comb. Theory, Ser. A, 1995•Citeseer
Many different asymptotic expressions for s (n, m), as n→∞, have been proposed in the
literature due to their wide applications, cf. Temme [8] for a brief survey of known results
together with a uniform asymptotic expansion valid for all m, 1≤ m≤ n. Recently, Wilf [10]
provided a considerably more explicit formula when m= O (1), m≥ 1. His main result is, for
m= O (1), s (n+ 1, m)(n+ 1)!
literature due to their wide applications, cf. Temme [8] for a brief survey of known results
together with a uniform asymptotic expansion valid for all m, 1≤ m≤ n. Recently, Wilf [10]
provided a considerably more explicit formula when m= O (1), m≥ 1. His main result is, for
m= O (1), s (n+ 1, m)(n+ 1)!
Many different asymptotic expressions for s (n, m), as n→∞, have been proposed in the literature due to their wide applications, cf. Temme [8] for a brief survey of known results together with a uniform asymptotic expansion valid for all m, 1≤ m≤ n. Recently, Wilf [10] provided a considerably more explicit formula when m= O (1), m≥ 1. His main result is, for m= O (1), s (n+ 1, m)(n+ 1)!
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