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» Summation algorithms for Stirling number identities
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JSC
2007
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13 years 4 months ago
Summation algorithms for Stirling number identities
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...
Manuel Kauers
ISSAC
2009
Springer
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13 years 11 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...