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

Muhittin Evren Aydın | Zendy; Mahut Ergut | Zendy

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

Author(s) -

Muhittin Evren Aydın,

Mahut Ergut

Publication year - 2014

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.45.2014.1569

Subject(s) - composite number , production (economics) , mathematics , mathematical economics , combinatorics , economics , algorithm , microeconomics

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.

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