Composite functions with Allen determinants and their applications to production models in economics

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Published: Dec 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1569
Keywords:
Production function Generalized Cobb-Douglas production function Composite function Allen elasticity of substitution.

Main Article Content

Muhittin Evren Aydin
Mahut Ergut

Abstract

In this paper, we derive an explicit formula for the Allen determinants of composite functions of the form:% \[ f\left( \mathbf{x}\right) =F\left( h_{1}\left( x_{1}\right) \times\cdots\times h_{n}\left( x_{n}\right) \right) . \] We completely classify the composite functions by using their Allen determinants. Some applications of Allen determinants to production models are also given.

Article Details

How to Cite
Aydin, M. E., & Ergut, M. (2014). Composite functions with Allen determinants and their applications to production models in economics. Tamkang Journal of Mathematics, 45(4), 427–435. https://doi.org/10.5556/j.tkjm.45.2014.1569
Issue
Vol. 45 No. 4 (2014)
Section
Papers
Author Biography

Muhittin Evren Aydin

Department ofMathematics, Faculty of Science, Firat University, 23200, Elazig, Turkey.

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