COMPOSITE FUNCTIONS WITH ALLEN DETERMINANTS AND THEIR APPLICATIONS TO PRODUCTION MODELS IN ECONOMICS

被引:9
|
作者
Aydin, M. Evren [1 ]
Ergut, Mahmut [1 ]
机构
[1] Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkey
来源
TAMKANG JOURNAL OF MATHEMATICS | 2014年 / 45卷 / 04期
关键词
Production function; generalized Cobb-Douglas production function; composite function; Allen elasticity of substitution;
D O I
10.5556/j.tkjm.45.2014.1569
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we derive an explicit formula for the Allen determinants of composite functions of the form: f(x) = F(h(1) (x(1)) x ... x h(n) (x(n))). We completely classify the composite functions by using their Allen determinants. Some applications of Allen determinants to production models are also given.
引用
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页码:427 / 435
页数:9
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