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Asymptotic Estimates of Stirling Numbers
Author(s) -
Temme N. M.
Publication year - 1993
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1993893233
Subject(s) - stirling engine , stirling numbers of the first kind , mathematics , stirling numbers of the second kind , stirling number , bell polynomials , mathematical analysis , calculus (dental) , physics , pure mathematics , thermodynamics , medicine , dentistry
New asymptotic estimates are given of the Stirling numbers and , of first and second kind, respectively, as n tends to infinity. The approximations are uniformly valid with respect to the second parameter m .