Publications de l’Institut Mathématique, Nouvelle Série, Vol. 100[114], No. 1/1, pp. 243

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 243–249 (2016)

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A NEW FORMULA FOR THE BERNOULLI NUMBERS OF THE SECOND KIND IN TERMS OF THE STIRLING NUMBERS OF THE FIRST KIND

Feng Qi

Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

Abstract: We find an explicit formula for computing the Bernoulli numbers of the second kind in terms of the signed Stirling numbers of the first kind.

Keywords: explicit formula; Bernoulli numbers of the second kind; Stirling numbers of the first kind; harmonic number

Classification (MSC2000): 11B68; 11B73; 11B83

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Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

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