Generalizations of Fibonacci-Lucas inverse tangent summation identities of Hoggatt and Ruggels

2019/10/19 by Kunle Adegoke, Adegoke, Kunle
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #math.NT #msc:11B37 #msc:11B39

paper · pdf · doi:10.48550/arxiv.1910.10611

9 pages, no figures or tables

arxiv created 2019/10/19 · arxiv updated 2019/10/24

Abstract

We derive generalizations of a couple of inverse tangent summation identities involving Fibonacci and Lucas numbers. As byproducts we establish many new inverse tangent identities involving the Fibonacci and Lucas numbers.

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