A parametric type of Bernoulli polynomials with level 3

DOI10.1007/S13398-020-00886-4zbMath1476.11046OpenAlexW3034838116MaRDI QIDQ2189990

Takao Komatsu

Publication date: 17 June 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00886-4

zbMATH Keywords

determinantsrecurrence relationsBernoulli polynomials and numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Determinants, permanents, traces, other special matrix functions (15A15) Polynomials in number theory (11C08)

Related Items (2)

A parametric type of Bernoulli polynomials with higher level ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios

Cites Work

• Symbolic computation of some power-trigonometric series
• A new type of Euler polynomials and numbers
• Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• A family of complex Appell polynomial sets
• An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials
• A parametric kind of the Fubini-type polynomials
• Lacunary recurrence formulas for the numbers of Bernoulli and Euler
• Some Determinants Involving Incomplete Fubini Numbers
• Unnamed Item

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