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arXiv.org e-Print Archive
Preprint . 2020
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2020
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Bernoulli-Fibonacci Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2020Publisher:arXiv
Authors: Pashaev, Oktay K.; Ozvatan, Merve;

doi: 10.48550/arxiv.2010.15080

arXiv: http://arxiv.org/abs/2010.15080

Bernoulli-Fibonacci Polynomials

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.

15 pages

Keywords

FOS: Mathematics, Mathematics - Combinatorics, FOS: Physical sciences, Combinatorics (math.CO), Mathematical Physics (math-ph), Mathematical Physics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green