Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model

Journal of Mathematical Economics

Volumn 44, Issue 1, 2008, Pages 33-54

  Boucekkine, R ^a,c   Ruiz Tamarit, J R ^a,b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b UNIVERSITY OF VALENCIA   (Spain)

^c UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Economic dynamics; Hypergeometric functions; Lucas Uzawa model; Optimal control; Special functions

Indexed keywords

EID: 36549022495     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmateco.2007.05.001     Document Type: Article

References (15)

1. Abadir K.M. An introduction to hypergeometric functions for economists. Econometric Reviews 18 (1999) 287-330
2. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover Publications, New York
3. Andrews G., Askey R., and Roy R. Special Functions (1999), Cambridge University Press, Cambridge
4. 1 (a, b ; c ; z) for arbitrary parameters. Journal of Computational and Applied Mathematics 126 (2000) 449-478
5. Benhabib J., and Perli R. Uniqueness and indeterminacy: on the dynamics of endogenous growth. Journal of Economic Theory 63 (1994) 113-142
6. Boucekkine, R., Ruiz-Tamarit, J.R. 2004. Imbalance effects in the Lucas Model: an analytical exploration. Berekeley Electronic Journals in Macroeconomics/Topics in Macroeconomics (Article 15).
7. Caballé J., and Santos M.S. On endogenous growth with physical and human capital. Journal of Political Economy 101 (1993) 1042-1067
8. Goursat M. Sur l'équation différentielle linéaire qui admet pour intégrale la série hypergéométrique. Annales de l'Académie des Sciences et de l'École Normale Supérieure 10 (1881) S3-S142
9. Kummer E. Uber die hypergeometrische reihe. Journal of Reine Angewandte Mathematics 15 (1836) 39-83 (127-172)
10. Luke Y. The Special Functions and their Approximations (1969), Academic Press, New York
11. Mulligan C.B., and Sala-i-Martín X. Transitional dynamics in two sector models of endogenous growth. Quarterly Journal of Economics 108 (1993) 739-773
12. Rivera-Batiz L., and Romer P. Economic integration and endogenous growth. Quarterly Journal of Economics 106 (1991) 531-556
13. Temme N.M. Special Functions. An Introduction to the Classical Functions of Mathematical Physics (1996), Wiley
14. Temme N.M. Large parameter cases of the Gauss hypergeometric function. Journal of Computational and Applied Mathematics 153 (2003) 441-462
15. Xie D. Divergence in economic performance: transitional dynamics with multiple equilibria. Journal of Economic Theory 63 (1994) 97-112