STIRLING NUMBERS FOR COMPLEX ARGUMENTS

Authors
RICHMOND B MERLINI D
Citation
B. Richmond et D. Merlini, STIRLING NUMBERS FOR COMPLEX ARGUMENTS, SIAM journal on discrete mathematics, 10(1), 1997, pp. 73-82
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on discrete mathematics → ACNP
ISSN journal
08954801
Volume
10
Issue
1
Year of publication
1997
Pages
73 - 82
Database
ISI
SICI code
0895-4801(1997)10:1<73:SNFCA>2.0.ZU;2-I
Abstract
We define the Stirling numbers for complex values and obtain extension s of certain identities involving these numbers. We also show that the generalization is a natural one for proving unimodality and monotonic ity results for these numbers. The definition is based on the Cauchy i ntegral formula and can be used for many other combinatorial numbers.