Abstract
In these notes we revisit with modifications and generalizations several problems and solutions from Aczél (1969), Aczél, Eichhorn (2000), Eichhorn (1978, 1986). The major part of these problems arose in the context of homogeneous production functions, in particular, Cobb-Douglas and CES functions. Their solutions use Euler’s theorem for homogeneous functions and the Bernoulli-L’Hospital rule. Finally we discuss several generalizations — some new — of homogeneous functions with aid of functional equations.
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References
ACZEL, J. (1969): On Applications and Theory of Functional Equations. Birkhäuser Verlag, Basel. Academic Press, New York.
ACZEL, J., EICHHORN, W. (2000): Mathematics and Methodology for Economists. Springer Verlag, Berlin.
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EICHHORN, W. (1978): Functional Equations in Economics. Addison—Wesley, Reading.
EICHHORN, W. (1986): Das Eulersche Theorem. Wirtschaftswissenschaftliches Studium 1, 29–32.
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© 1999 Springer-Verlag Berlin Heidelberg
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Aczél, J., Eichhorn, W. (1999). Cobb-Douglas and Other CES Functions, Homogeneity and Generalizations. In: Gaul, W., Schader, M. (eds) Mathematische Methoden der Wirtschaftswissenschaften. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12433-8_33
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DOI: https://doi.org/10.1007/978-3-662-12433-8_33
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-662-12434-5
Online ISBN: 978-3-662-12433-8
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