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On Homogeneous Functions

Catalin Angelo Ioan

Acta Universitatis Danubius. OEconomica, 2013, issue 9(2), 166-175

Abstract: The paper investigates some aspects of the behavior of homogeneous functions. After determining the degree of homogeneity of partial derivatives of a homogeneous function, it is determined their general form in the case of integer degree of homogeneity and they are defined in 0. It also generalizes the Euler relation for homogeneous functions to the higher order partial derivatives. Finally, it is determined a necessary condition for concavity of these functions.

Keywords: production functions; convexity; concavity; homogenous functions (search for similar items in EconPapers)
Date: 2013
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