Number Theory

    

A Generalization of Vajda's Identity for Fibonacci and Lucas Numbers

Authors: Suaib Lateef

In this paper, we present two identities involving Fibonacci numbers and Lucas numbers. The first identity generalizes Vajda's identity, which in turn generalizes Catalan's identity, while the second identity is a corresponding result involving Lucas numbers. Binet's formulas for generating the nth term of Fibonacci numbers and Lucas numbers will be used in proving the identities.

Comments: 8 pages

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Submission history

[v1] 2021-02-26 21:55:49
[v2] 2021-04-07 07:43:23
[v3] 2021-06-23 05:32:41
[v4] 2021-07-16 10:53:32

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