Open AccessComposite 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.