Stirling numbers for complex arguments

SIAM Journal on Discrete Mathematics

Volumn 10, Issue 1, 1997, Pages 73-82

  Richmond, Bruce ^a   Merlini, Donatella ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b Dipto di Sistemi e Informatica   (Italy)

Author keywords

Asymptotic enumeration; Stirling numbers

Indexed keywords

EID: 0038229614     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480195284329     Document Type: Article

References (9)

1. B. W. CHAR, K. O. GEDDES, G. H. GONNET, B. L. LEONG, M. B. MONAGAN, AND S. M. WATT, Maple V Library Reference Manual, Springer-Verlag, New York, Berlin, 1992.
2. D. GARDY, Some results on the asymptotic behaviour of coefficients of large powers of functions, Discrete Math., 139 (1995), pp. 189-217.
3. R. L. GRAHAM, D. E. KNUTH, AND O. PATASHNIK, Concrete Mathematics, Addison-Wesley, Reading, MA, 1989.
4. D. E. KNUTH, Convolution polynomials, Mathematica, 4(2) (1992), pp. 67-78.
5. D. E. KNUTH, Two notes on notation, Amer. Math. Monthly, 99 (1992), pp. 403-422.
6. D. E. KNUTH AND B. PITTEL, A recurrence related to trees, Proc. Amer. Math. Soc., 105 (1989), pp. 335-349.
7. A. MEIR AND J. W. MOON, The asymptotic behaviour of coefficients of powers of certain generating functions, European J. Combin., 11 (1990), pp. 581-587.
8. D. MERLINI, R. SPRUGNOLI, AND M. C. VERRI, Asymptotics for Two-Dimensional Arrays: Convolution Matrices, Technical report 27, Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy, 1994.
9. R. SPRUGNOLI AND A. DEL LUNGO, Semireal Stirling Numbers of the Second Kind, Technical report, Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy, 1994.