Multiple Convolution Formulae of Bernoulli and Euler Numbers

Wenchang Chu ()
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Wenchang Chu: Zhoukou Normal University, (Henan)

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 969-987

Abstract: Abstract By examining higher derivatives of hyperbolic functions, we derive monomial and binomial representation formulae, that are utilized to establish several multiple convolution identities for the Bernoulli numbers Bn, Euler numbers En and two variants of Bn

Keywords: Bernoulli numbers; Euler numbers; Stirling numbers; hyperbolic functions; multiple convolution; 11B68; 05A19 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0444-2

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