IJPAM: Volume 94, No. 1 (2014)
OF BABBAGE'S FUNCTIONAL EQUATION
Department of Mathematics
Bangsaen, Chonburi, 20131, THAILAND
Abstract. This paper investigates the functional root of the identity function in the rational form . The formula is analyzed via linear transformation in order to obtain the conditions for a, b, c and d. Some examples in linear rational form or in other forms are provided. The rational form of quadratic functions is also discussed.
Received: August 19, 2013
AMS Subject Classification: 39B72, 39B12, 26C15, 39B72, 40C05
Key Words and Phrases: functional root, Babbage's equation, rational form, functional equation, matrix representation
Download paper from here.
DOI: 10.12732/ijpam.v94i1.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 9 - 20
This work is licensed under the Creative Commons Attribution International License (CC BY).