Additional Fibonacci-Bernoulli relations

Abstract

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of hyperbolic functions. Special cases and some corollaries will highlight interesting aspects of our findings.

Keywords

• bernoulli numbers and polynomials
• fibonacci sequence
• lucas sequence
• recurrence
• generating function