Bernoulli, poly-Bernoulli, and Cauchy polynomials in terms of Stirling\n and r-Stirling numbers

2016/11/07 by Khristo N. Boyadzhiev, Boyadzhiev, Khristo N.
Mathematics · #Advanced Mathematical Identities #Advanced Combinatorial Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1611.02377

Abstract

We review and discuss some results on the representation of Bernoulli,\npoly-Bernoulli numbers, and Bernoulli and Cauchy polynomials in terms of\nStirling numbers of the first or second kind, or in terms of r-Stirling\nnumbers.\n

Related

• Bernoulli-like polynomials associated with Stirling Numbers
• Formulas involving Cauchy polynomials, Bernoulli polynomials, and generalized Stirling numbers
• A note on poly-Bernoulli numbers and polynomials of the second kind
• Multiparameter poly-Cauchy and poly-Bernoulli numbers and polynomials
• q-Bernoulli numbers and Stirling numbers(2)