Bernoulli-Fibonacci Polynomials
Combinatorics
2020-10-29 v1 Mathematical Physics
math.MP
Abstract
By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts. Fibonacci numbers and Golden ratio are intrinsically involved in formulas obtained.
Keywords
Cite
@article{arxiv.2010.15080,
title = {Bernoulli-Fibonacci Polynomials},
author = {Oktay K. Pashaev and Merve Ozvatan},
journal= {arXiv preprint arXiv:2010.15080},
year = {2020}
}
Comments
15 pages