On the inversion of ... in terms of associated Stirling numbers (1995)
by
D. J. Jeffrey
,
R. M. Corless
,
D. E. G. Hare
,
D. E. Knuth
BibTeX
@MISC{Jeffrey95onthe,
author = {D. J. Jeffrey and R. M. Corless and D. E. G. Hare and D. E. Knuth},
title = {On the inversion of ... in terms of associated Stirling numbers},
year = {1995}
}
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Abstract
> n+m n m z n n! : (1a) The numbers (\Gamma1) n+m \Theta n m are also called Stirling numbers of the first kind [8]. Stirling partition numbers \Phi n m \Psi , also called Stirling numbers of the second kind, are defined by (e z \Gamma 1) m = m! X n ae n m oe z n n! ; (1b) and 2-associated Stirling partition numbers \Phi n m \Psi 2 are defined by [2, exercise 5.7; 7, p. 296; 9, x4.5] (e z \Gamma 1 \Gamma z) m = m! X n ae n m
Citations
| 222 | An Introduction to Combinatorial Analysis - Riordan - 1958 |
| 21 | Theory of functions of a complex variable - Caratheodory - 1950 |
| 17 | Handbuch der Theorie der Gammafunktion, Part I in Die Gammafunktion (Chelsea Publ - Nielsen - 1965 |
| 12 | de Bruijn, Asymptotic Methods - G - 1961 |
