AN INTRODUCTION TO HYPERGEOMETRIC FUNCTIONS FOR ECONOMISTS

Paper number: 95/10

Year: 1995

Paper Category: Discussion Paper

Authors

Karim M Abadir*
University of Exeter

Abstract

Hypergeometric functions are a generalization of exponential functions. They are explicit, computable functions that can also be manipulated analytically. The functions and series we use in quantitative economics are all special cases of them. In this paper, a unified approach to hypergeometic functions is given. As a result, some potentially useful general applications emerge such as in statistical distribution theory, applied econonometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide the parsimonious explicit (and interpretable) solutions to a wide range of general problems

JEL Classification numbers: C00.
Keywords: Hypergeometric functions; distribution theory; nonlinear models and discontinuities; differential equations; economic theory; utility, production and cost functions.
Abbreviated title:'Hypergeometric functions'
Address for correspondence:
Karim M Abadir,
Department of Economics
University of Exeter
Amory building
Rennes Drive
EXETER EX4 4RJ,

Tel: 01392+263200 or 263244
Fax: 01392-263242
E-mail address: K.M.Abadir@exeter.ac.uk

 


 

*This paper is largely bases on Chapter 1 of my D.Phil. (Oxford) thesis 'Testing for and simulating with nonstationarity in Econometrics'. I am greatly indebted to David Hendry for his untiring encouragement and help. Comments by Adel Beshai, Hans-Jürg Büttler, John Driffle René Garcia, Kaddour Hadri, Grant Hillier, André Lucas, Serena Ng, Bent Nielsen, Paolo Paruolo, Lucrezia Reichlin, Michael Rockinger and Elias Tzavalis are greatfully acknowledged.