2020arXiv (Cornell University)Open access

Two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind

Sumit Kumar Jha

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Abstract

We derive two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind using analytic continuation of a well known identity for the Stirling numbers of the first kind.

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We derive two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind using analytic continuation of a well known identity for the Stirling numbers of the first kind.

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Available abstract

We derive two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind using analytic continuation of a well known identity for the Stirling numbers of the first kind.

Key concepts: Stirling numbers of the second kind, Bernoulli number, Stirling number, Stirling numbers of the first kind, Bell polynomials, Euler's formula, Bernoulli's principle, Mathematics

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Two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind — Research Paper | ScholarLens