Affiliation:
1. Wuhan University, School of Mathematics and Statistics, Wuhan, China
2. University of Akdeniz Faculty of Science, Department of Mathematics, Antalya, Turkey
Abstract
The n-th Cauchy number cn (n ? 0) are defined by the generating function
x/ln(1+x)=??,n=0 cnxn=n!. In this paper, we deal with formulae of the type
?l1+...+lm=? l1,...,lm?0 ?!/l1!...lm! (cl1 +...+ clm )n = a0cn+? +
...+ am-1cn+?-m+1, where the ai are suitable rational numbers, the ci
are Cauchy numbers and (cl1+...+clm )n := ?k1+...+km=n k1,...,km?0
n!/k1!...km! ck1+l1...ckm+lm. In particular, we give explicit formulae
for m = 3 and m = 4.
Publisher
National Library of Serbia
Cited by
6 articles.
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