Original scientific paper

Logarithms of a binomial series: Extension of a series of Knuth

Wenchang Chu orcid.org/0000-0002-8425-212X ; School of Mathematics and Statistics, Zhoukou Normal University, Henan, P. R. China

Abstract

The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of Lambert series of binomial coefficients, extending the log–squared of the Catalan generating function due to Knuth

Keywords

Catalan numbers; harmonic numbers; elementary symmetric function; Bell polynomial; Lagrange expansion formula

Hrčak ID:

215152

URI

https://hrcak.srce.hr/215152

Publication date:

19.4.2019.

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