Symmetrized poly-Bernoulli numbers and combinatorics

zbMath1476.11052arXiv2003.12378MaRDI QIDQ5126293

Toshiki Matsusaka

Publication date: 16 October 2020

Full work available at URL: https://arxiv.org/abs/2003.12378

zbMATH Keywords

Genocchi numberpoly-Bernoulli numberDumont-Foata polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (5)

On the combinatorics of symmetrized poly-Bernoulli numbers ⋮ Bijective enumerations for symmetrized poly-Bernoulli polynomials ⋮ REMARKABLE RELATIONS BETWEEN THE CENTRAL BINOMIAL SERIES, EULERIAN POLYNOMIALS, AND POLY-BERNOULLI NUMBERS, LEADING TO STEPHAN'S OBSERVATION ⋮ Poly-Cauchy numbers of the second kind - the combinatorics behind ⋮ Combinatorial proof of an identity on Genocchi numbers

Uses Software

• OEIS

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• Une propriété de symétrie des nombres de Genocchi
• ON POLY-EULER NUMBERS
• On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
• On poly-cosecant numbers
• Combinatorial properties of poly-Bernoulli relatives
• Bernoulli Numbers and Zeta Functions

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