Affiliation:
1. Ondokuz Mayıs University, Deparment of Mathematics, Samsun, Turkey
Abstract
In the present work, we introduce a new version of Fibonacci and Lucas
numbers which we will call non-Newtonian Fibonacci and non-Newtonian Lucas
numbers. Also, we discuss a variety of some properties of them. Furthermore,
we give some formulas and identities such as Binet?s formula, the d?Ocagne?s
identity, Cassini?s identity and Gelin-Ces?ro identity involving these new
types and we find the generating functions for these numbers.
Publisher
National Library of Serbia
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