Poly-Bernoulli Numbers and Eulerian Numbers
Beata Benyi, Peter Hajnal
TL;DR
This paper establishes new combinatorial formulas linking poly-Bernoulli numbers with negative indices to Eulerian numbers, enhancing understanding of their mathematical relationship.
Contribution
It introduces novel combinatorial formulas connecting poly-Bernoulli numbers with Eulerian numbers, expanding the theoretical framework.
Findings
New formulas connecting poly-Bernoulli and Eulerian numbers
Enhanced understanding of combinatorial relationships
Mathematical proofs of the formulas
Abstract
In this note we prove combinatorially some new formulas connecting poly-Bernoulli numbers with negative indices to Eulerian numbers.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications