Stirling numbers
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11—20 of 22 matching pages
11: 24.16 Generalizations
12: 26.15 Permutations: Matrix Notation
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26.15.13
13: Bibliography J
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Stirling Numbers, Lambert W and the Gamma Function.
In Mathematical Aspects of Computer and Information Sciences, J. Blömer, I. S. Kotsireas, T. Kutsia, and D. E. Simos (Eds.),
Cham, pp. 275–279.
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14: Bibliography G
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Tables of binomial coefficients and Stirling numbers.
J. Res. Nat. Bur. Standards Sect. B 80B (1), pp. 99–171.
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Stirling number representation problems.
Proc. Amer. Math. Soc. 11 (3), pp. 447–451.
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15: Bibliography T
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Asymptotic estimates of Stirling numbers.
Stud. Appl. Math. 89 (3), pp. 233–243.
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16: 8.11 Asymptotic Approximations and Expansions
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►This reference also contains explicit formulas for in terms of Stirling numbers and for the case an asymptotic expansion for as .
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►This reference also contains explicit formulas for the coefficients in terms of Stirling numbers.
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17: Bibliography M
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Asymptotic development of the Stirling numbers of the first kind.
J. London Math. Soc. 33, pp. 133–146.
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Stirling numbers of the second kind.
Duke Math. J. 25 (1), pp. 29–43.
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18: 5.11 Asymptotic Expansions
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►For explicit formulas for in terms of Stirling numbers see Nemes (2013a), and for asymptotic expansions of as see Boyd (1994) and Nemes (2015a).
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19: Errata
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Table 26.8.1
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Originally the Stirling number was given incorrectly as 6327. The correct number is 63273.
10 |
Reported 2013-11-25 by Svante Janson.
20: Bibliography B
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Asymptotics of Stirling numbers of the second kind.
Proc. Amer. Math. Soc. 42 (2), pp. 575–580.
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