IJPAM: Volume 94, No. 1 (2014)
ON DERIVATION OF RATIONAL SOLUTIONS
OF BABBAGE'S FUNCTIONAL EQUATION
OF BABBAGE'S FUNCTIONAL EQUATION
Ampon Dhamacharoen
, Porntip Kasempin
Department of Mathematics
Burapha University
Bangsaen, Chonburi, 20131, THAILAND



Burapha University
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
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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
Year: 2014
Volume: 94
Issue: 1
Pages: 9 - 20
