Binomials transformation formulae for scaled Fibonacci numbers

The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined by Wituła and Słota. The paper contains some...

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Bibliographic Details
Main Authors: Hetmaniok Edyta, Piątek Bożena, Wituła Roman
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0047