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variants of this functions
Fibonacci






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Integer Functions > Fibonacci[nu] > Introduction to the Fibonacci and Lucas numbers





Connections within the group of the Fibonacci and Lucas numbers and with other function groups


The Fibonacci and Lucas numbers and have the following representations through more general functions including some hypergeometric functions and Meijer G functions:

The Fibonacci and Lucas numbers and can be represented through each other by the following formulas:

The Fibonacci and Lucas numbers and have the following representations through elementary functions: