Geodesic
Some properties of associated Stirling numbers
Journal of integer sequences, Tome 11 (2008) no. 1
In this paper, we discuss the properties of associated Stirling numbers. By means of the method of coefficients, we establish a series of identities involving associated Stirling numbers, Bernoulli numbers, harmonic numbers, and the Cauchy numbers of the first kind. In addition, we give the asymptotic expansion of certain sums involving 2-associated Stirling numbers of the second kind by Darboux's method.
Classification : 05A15, 05A16, 05A19
Keywords: Stirling numbers, Bernoulli numbers, harmonic numbers, asymptotic expansion, Darboux's method 
@article{JIS_2008__11_1_a3,
     author = {Zhao,  Feng-Zhen},
     title = {Some properties of associated {Stirling} numbers},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {1},
     zbl = {1138.05302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/}
}
TY  - JOUR
AU  - Zhao,  Feng-Zhen
TI  - Some properties of associated Stirling numbers
JO  - Journal of integer sequences
PY  - 2008
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/
LA  - en
ID  - JIS_2008__11_1_a3
ER  - 
%0 Journal Article
%A Zhao,  Feng-Zhen
%T Some properties of associated Stirling numbers
%J Journal of integer sequences
%D 2008
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/
%G en
%F JIS_2008__11_1_a3
Zhao,  Feng-Zhen. Some properties of associated Stirling numbers. Journal of integer sequences, Tome 11 (2008) no. 1. http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/