On poly-cosecant numbers

Abstract

We introduce and study a `level two' generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence relation, two exact formulas, and a duality relation for negative upper-index numbers.

arXiv comment12 pages

References in corpus (1)

• Higher-order tangent and secant numbers

Cited by in corpus (1)

• Convolution identities of poly-Cauchy numbers with level $2$