Additional Fibonacci-Bernoulli relations

K. Adegoke; R. Frontczak; T.P. Goy

doi:10.15421/242208

Additional Fibonacci-Bernoulli relations

K. Adegoke (Obafemi Awolowo University)
R. Frontczak (Landesbank Baden-Württemberg), https://orcid.org/0000-0002-9373-5297
T.P. Goy (Vasyl Stefanyk Precarpathian National University), https://orcid.org/0000-0002-6212-3095

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

MSC 2020

11B68; 11B39; 05A15

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References

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