Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639040 | Journal of Computational and Applied Mathematics | 2014 | 7 Pages |
Abstract
Guo and Qi (2013) posed a problem asking to determine the coefficients ak,i−1ak,i−1 for 1≤i≤k1≤i≤k such that 1/(1−e−t)k=1+∑i=1kak,i−1(1/(et−1))(i−1). The authors answer this question alternatively by Faà di Bruno’s formula, unify the eight identities due to Guo and Qi to two identities involving two parameters, and apply them to obtain an explicit expression for the Apostol–Bernoulli numbers and the Fubini numbers, respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ai-Min Xu, Zhong-Di Cen,