TY - JOUR AU - Aydin, Muhittin Evren AU - Ergut, Mahut PY - 2014/12/30 Y2 - 2024/03/29 TI - Composite functions with Allen determinants and their applications to production models in economics JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 45 IS - 4 SE - Papers DO - 10.5556/j.tkjm.45.2014.1569 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1569 SP - 427-435 AB - 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. ER -