Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter

DOI10.1007/S10986-017-9371-2zbMath1420.11046OpenAlexW2754810587MaRDI QIDQ683365

Takao Komatsu, José L. Ramírez, Victor F. Sirvent

Publication date: 6 February 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-017-9371-2

zbMATH Keywords

combinatorial identitiesgenerating functionpoly-Bernoulli numbersmulti-poly-Bernoulli numbersmultiple polylogarithm function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (3)

A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials ⋮ A NOTE ON THE GENERALIZED BERNOULLI POLYNOMIALS WITH (p, q)-POLYLOGARITHM FUNCTION ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

Cites Work

• Poly-Cauchy numbers with a \(q\) parameter
• More properties on multi-poly-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• On generalized poly-Bernoulli numbers and related \(L\)-functions
• The \(r\)-Stirling numbers
• \(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson's integrals
• Generalizations of poly-Bernoulli and poly-Cauchy numbers
• Poly-Bernoulli numbers
• Poly-Bernoulli numbers and polynomials with a \(q\) parameter
• Multiple polylogarithms and multi-poly-Bernoulli polynomials
• A FORMULA FOR MULTI-POLY-BERNOULLI NUMBERS OF NEGATIVE INDEX
• POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Bernoulli Numbers and Zeta Functions
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