Functional Equations with Non Trivial Solutions
Functional Equations with Non Trivial Solutions

Summary/Abstract: We study a class of nontrivial numeric functions, having as domain and range the set N of positive integers and satisfying functional equation of type f(f(n)) = g(n). They appear as natural generalization of two Olympiad problems that are presented, illustrating basic functional properties as injection, surjection, bijection and functional operations as composition, iteration and reverse. In addition a recursive defined function is considered with remarkable explicit form and properties concerning the Fibonacci sequence.

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