On Stirling numbers for complex arguments and Hankel contours

Citation
P. Flajolet et H. Prodinger, On Stirling numbers for complex arguments and Hankel contours, SIAM J DISC, 12(2), 1999, pp. 155-159
Citations number
6
Categorie Soggetti
Engineering Mathematics
Journal title
SIAM JOURNAL ON DISCRETE MATHEMATICS
ISSN journal
08954801 → ACNP
Volume
12
Issue
2
Year of publication
1999
Pages
155 - 159
Database
ISI
SICI code
0895-4801(19990429)12:2<155:OSNFCA>2.0.ZU;2-F
Abstract
Cauchy coefficient integrals and Hankel contours provide a natural generali zation of Stirling numbers for unrestricted complex values of their argumen ts. Many classical identities survive such an extension.