Functional Equations with Non Trivial Solutions
Functional Equations with Non Trivial Solutions
Author(s): Stoyan BoevSubject(s): Education, Educational Psychology, ICT Information and Communications Technologies
Published by: Нов български университет
Keywords: Functional equations; Recursive defined functions; Involution;
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.
Journal: Computer Science and Education in Computer Science
- Issue Year: 11/2015
- Issue No: 1
- Page Range: 200-217
- Page Count: 18
- Language: English