Logarithms of a binomial series: A Stirling number approach

Helmut Prodinger

Abstract


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.


Keywords


Catalan numbers, logarithm, generating function, Stirling number

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DOI: https://doi.org/10.26493/1855-3974.1901.987

ISSN: 1855-3974

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