Work

Bernoulli-Fibonacci Polynomials

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2010.15080

Authors: Pashaev, Oktay K., Ozvatan, Merve

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3095337119

Cites: 3

Cited by: 1

Related to: 10