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The asymptotics of $e^{P\left( z \right)}$ and the number of elements of each order in $S_n$
Author(s):
Herbert S.
Wilf
Journal:
Bull. Amer. Math. Soc.
15
(1986),
228-232.
MSC (1985):
Primary 05A05, 05A15, 05A20, 10A50, 30D15, 41A60
MathSciNet review:
854561
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Additional information
References:
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- S. Chowla, I. N. Herstein and K. Moore, On recursions connected with symmetric groups. I, Canad. J. Math. 3 (1951), 328-334. MR 41849
- 2.
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- 3.
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- 4.
- L. Moser and M. Wyman, On solutions of x = 1 in symmetric groups, Canad. J. Math. 7 (1955), 159-168. MR 68564
- 5.
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- 6.
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- 7.
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- 8.
- Max Wyman, Asymptotic behavior of Laurent coefficients, Canad. J. Math. 11 (1959), 534-555. MR 107121
- 9.
- E. T. Whittaker and G. N. Watson, A course of modem analysis, 4th ed., Cambridge, 1958.
- 10.
- Edward A. Bender, Asymptotic methods in enumeration, SIAM Rev. 16 (1974), 485-515. MR 376369
- 11.
- B. Harris and L. Schoenfeld, Asymptotic expansions for the coefficients of analytic functions, Illinois J. Math. 12 (1968), 264-277. MR 224801
- 12.
- A. M. Odlyzko and L. B. Richmond, Asymptotic expansions for the coefficients of analytic generating functions. Aeq. Math. 28 (1985), 50-63. MR 781207
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15486-8
PII:
S 0273-0979(1986)15486-8
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