Fibonacci series from power series
Kunle Adegoke
Department of Physics, Obafemi Awolowo University
220005 Ile-Ife, Nigeria
We show how every power series gives rise to a Fibonacci series and a companion series involving Lucas numbers. For illustrative purposes, Fibonacci series arising from trigonometric functions, the gamma function and the digamma function are derived. Infinite series involving Fibonacci and Bernoulli numbers and Fibonacci and Euler numbers are also obtained.
Fibonacci number
Lucas number
Summation identity
Generating function
Digamma function
Bernoulli number
Zeta function
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