Kunle Adegoke
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 21, 2015, Number 1, Pages 56—66
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Authors and affiliations
Kunle Adegoke
Department of Physics, Obafemi Awolowo University
Ile-Ife, 220005 Nigeria
Abstract
We derive numerous infinite arctangent summation formulas involving Fibonacci and Lucas numbers. While most of the results obtained are new, a couple of ‘celebrated’ results appear as particular cases of the more general formulas derived here.
Keywords
- Fibonacci numbers
- Lucas numbers
- Lehmer’s formula
- Arctangent sums
- Infinite sums
AMS Classification
- 11B39
- 11Y60
References
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Related papers
- Frontczak, R. (2017). Further results on arctangent sums with applications to generalized Fibonacci numbers. Notes on Number Theory and Discrete Mathematics, 23(1), 39-53.
Cite this paper
Adegoke, K. (2015). Infinite arctangent sums involving Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 21(1), 56-66.