ON THE LOG-CONCAVITY OF THE DEGENERATE BERNOULLI NUMBERS

DOI10.1142/S1793042112500443zbMath1271.11022OpenAlexW2143474760MaRDI QIDQ2880336

Florian Luca, Paul Thomas Young

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112500443

zbMATH Keywords

Riemann zeta functionBernoulli numbersdegenerate Bernoulli numberslog-concave polynomialKakea's theorem

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Polynomials in number theory (11C08) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Cites Work

• Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
• Enumeration by kernel positions
• Log-concavity of Stirling numbers and unimodality of Stirling distributions
• Explicit formulas for degenerate Bernoulli numbers
• A finite difference approach to degenerate Bernoulli and Stirling polynomials

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