Manuel Kauers,
"Summation Algorithms for Stirling Number Identities"
, Serie SFB F013 Reports, Nummer 2007-11, SFB F013, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria, 2007
Original Titel:
Summation Algorithms for Stirling Number Identities
Sprache des Titels:
Englisch
Original Kurzfassung:
We consider a class of sequences defined by triangular recurrence equations. This class contains Stirling numbers and Eulerian numbers of both kinds, and hypergeometric multiples of those. We give a sufficient criterion for sums over such sequences to obey a recurrence equation, and present algorithms for computing such recurrence equations efficiently. Our algorithms can be used for verifying many known summation identities about Stirling numbers instantly, and also for discovering new identities.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
SFB F013
Verlagsanschrift:
Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria