Logarithms of a binomial series: A Stirling number approach
Combinatorics
2019-01-01 v1
Abstract
The -th power of the logarithm of the Catalan generating function is computed using the Stirling cycle numbers. Instead of Stirling numbers, one may write this generating function in terms of higher order harmonic numbers.
Cite
@article{arxiv.1812.11805,
title = {Logarithms of a binomial series: A Stirling number approach},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:1812.11805},
year = {2019}
}