Homothetic Functions with Allen's Perspective and Its Geometric Applications
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 185
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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
Keywords: Homothetic production function, Allen's elasticity of substitution, Generalized Cobb-Douglas production function, Generalized ACMS production function
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/
@article{KJM_2014_38_1_a13,
author = {M. E. Aydin and M. Ergut},
title = {Homothetic {Functions} with {Allen's} {Perspective} and {Its} {Geometric} {Applications}},
journal = {Kragujevac Journal of Mathematics},
pages = {185 },
year = {2014},
volume = {38},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a13/}
}