Logarithms of a binomial series: A Stirling number approach

Helmut Prodinger
2019 Ars Mathematica Contemporanea  
The p-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.
doi:10.26493/1855-3974.1901.987 fatcat:63o6nhw5sneo5jhyk6ccz4lsaa