Logarithms of a binomial series: A Stirling number approach
Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 271-275.

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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
Keywords: Catalan numbers, logarithm, generating function, Stirling number
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Helmut Prodinger. Logarithms of a binomial series: A Stirling number approach. Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 271-275. doi : 10.26493/1855-3974.1901.987. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1901.987/

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