Algorithms for Bernoulli numbers and Euler numbers
Kwang-Wu Chen
Abstract
Kwang-Wu Chen
Abstract
In this paper we investigate some algorithms which produce Bernoulli numbers, Euler numbers, and tangent numbers. We also give closed formulae for Euler numbers and tangent numbers in terms of Stirling numbers of the second kind. 1991 Mathematics Subject Classification. Primary 11B68 Keywords. Bernoulli number, Euler number, Euler polynomial, Stirling number of the second kind, tangent number 1.
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In this paper we investigate some algorithms which produce Bernoulli numbers, Euler numbers, and tangent numbers. We also give closed formulae for Euler numbers and tangent numbers in terms of Stirling numbers of the second kind. 1991 Mathematics Subject Classification. Primary 11B68 Keywords. Bernoulli number, Euler number, Euler polynomial, Stirling number of the second kind, tangent number 1.
Key concepts: Bernoulli number, Euler number (physics), Stirling numbers of the second kind, Mathematics, Euler's formula, Stirling number, Bernoulli polynomials, Stirling numbers of the first kind