On poly-cosecant numbers

Kaneko Masanobu,Pallewatta Maneka,Tsumura Hirofumi

JOURNAL OF INTEGER SEQUENCES（2020）

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摘要

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.

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关键词

poly-Bernoulli number,multiple zeta value,multiple zeta function,polylogarithm

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