Geodesic
Hessian Determinants of Composite Functions With Applications for Production Functions in Economics
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 259

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

B.-Y. Chen [7] derived an explicit formula for the Hessian determinants of composite functions defined by $f=F(h_1(x_1)+\cdots+h_n(x_n))$. In this paper, we introduce a new formula for the Hessian determinants of composite functions of the form \[ f=F(h_1(x_1)\times\cdots\times h_n(x_n)) \] Several applications of the new formula to the well-known Cobb-Douglas production functions in economics are also given.
Classification : 91B38 15A15
Keywords: Hessian matrix, Hessian determinant, production function, generalized Cobb-Douglas production function, composite function 
M. E. Aydin; D. M. Ergut. Hessian Determinants of Composite Functions With Applications for Production Functions in Economics. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 259 . http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a3/
@article{KJM_2014_38_2_a3,
     author = {M. E. Aydin and D. M. Ergut},
     title = {Hessian {Determinants} of {Composite} {Functions} {With} {Applications} for {Production} {Functions} in {Economics}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {259 },
     year = {2014},
     volume = {38},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a3/}
}
TY  - JOUR
AU  - M. E. Aydin
AU  - D. M. Ergut
TI  - Hessian Determinants of Composite Functions With Applications for Production Functions in Economics
JO  - Kragujevac Journal of Mathematics
PY  - 2014
SP  - 259 
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a3/
LA  - en
ID  - KJM_2014_38_2_a3
ER  - 
%0 Journal Article
%A M. E. Aydin
%A D. M. Ergut
%T Hessian Determinants of Composite Functions With Applications for Production Functions in Economics
%J Kragujevac Journal of Mathematics
%D 2014
%P 259 
%V 38
%N 2
%U http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a3/
%G en
%F KJM_2014_38_2_a3