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A new analogue of Gauss' functional equation

Authors :
Hiroshi Haruki
Themistocles M. Rassias
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 4, Pp 749-756 (1995)
Publication Year :
1995
Publisher :
Hindawi Limited, 1995.

Abstract

Gauss established a theory on the functional equation (Gauss' functional equation) f(a+b2,ab)=f(a,b) (a,b>0), where f:R+×R+→R is an unknown function of the above equation.

Subjects

Subjects :
Gauss' functional equation
the arithmetic-geometric mean of Gauss
the arithmetic-harmonic mean.
Mathematics
QA1-939

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
18
Issue :
4
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.0a88c9ce26f14e2798fec545b0a1f9be
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171295000962
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