Geodesic
Homothetic Functions with Allen's Perspective and Its Geometric Applications
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 185 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we completely classify the homothetic functions of $2$ variables by using their Allen's matrices. We give some applications of Allen's matrices to composite functions. Several geometric results are also obtained for graphs of homothetic functions.
Classification : 91B38 15A15 53B25
Keywords: Homothetic production function, Allen's elasticity of substitution, Generalized Cobb-Douglas production function, Generalized ACMS production function 
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M. E. Aydin; M. Ergut. Homothetic Functions with Allen's Perspective and Its Geometric Applications. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 185 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a13/