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An introduction to hypergeometric functions for economists

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Karim Abadir

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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 hypergeometric functions is given. As a result, some potentially useful general applications emerge in a number of areas such as in econometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide parsimonious explicit (and interpretable) solutions to a wide range of general problems.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/07474939908800447&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 18 (1999)
Issue (Month): 3 ()
Pages: 287-330
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Handle: RePEc:taf:emetrv:v:18:y:1999:i:3:p:287-330

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Related research
Keywords: and phrases Hypergeometric functions distribution theory non-linear models and discontinues differential equations economic theory utility production and cost functions

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  1. Karim M. Abadir & Andre Lucas, 2000. "A Comparison of Minimum MSE and Maximum Power for the nearly Integrated Non-Gaussian Model," Tinbergen Institute Discussion Papers 00-033/4, Tinbergen Institute. [Downloadable!]
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  2. Menelaos Karanasos & J. Kim, . "Alternative GARCH in Mean Models: An Application to the Korean Stock Market," Discussion Papers 00/25, Department of Economics, University of York. [Downloadable!]
  3. A. Sancetta & Satchell, S.E., 2001. "Bernstein Approximations to the Copula Function and Portfolio Optimization," Cambridge Working Papers in Economics 0105, Faculty of Economics, University of Cambridge. [Downloadable!]
  4. Hendrik P. van Dalen & Kene Henkens, 2000. "What makes a Scientific Article influential?," Tinbergen Institute Discussion Papers 00-032/1, Tinbergen Institute. [Downloadable!]
  5. Raffaella Giacomini & Andreas Gottschling & Christian Haefke & Halbert White, 2002. "Hypernormal Densities," University of California at San Diego, Economics Working Paper Series 2002-14, Department of Economics, UC San Diego. [Downloadable!]
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  6. Marc, VANCAUTEREN & Daniel, WEISERBS, 2005. "Intra-European Trade of Manufacturing Goods : An extension of the Gravity Model," Université catholique de Louvain, Département des Sciences Economiques Working Paper 2005026, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
  7. Raouf, BOUCEKKINE & José R. , RUIZ-TAMARIT, 2004. "Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model," Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper 2004026, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
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  8. Giacomini, Raffaella & Gottschling, Andreas & Haefke, Christian & White, Halbert, 2007. "Mixtures of t-distributions for Finance and Forecasting," Economics Series 216, Institute for Advanced Studies. [Downloadable!]
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  9. José Ramón Ruiz Tamarit & Manuel Sánchez Moreno, 2006. "Optimal Regulation And Growth In A Natural-Resource-Based Economy," Working Papers. Serie AD 2006-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  10. Menelaos Karanasos & J. Kim, . "Moments of the ARMA-EGARCH Model," Discussion Papers 00/29, Department of Economics, University of York. [Downloadable!]
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