English, Article, Journal or magazine article edition: Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model Raouf, BOUCEKKINE; JosŽ R. , RUIZ-TAMARIT

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Bookmark: http://trove.nla.gov.au/version/178782
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model
Author
  • Raouf, BOUCEKKINE
  • JosŽ R. , RUIZ-TAMARIT
Physical Description
  • preprint
Notes
  • The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transtion dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa model, which we solve by the means of Gaussian hypergeometric functions. We show how the use of Gaussian hypergeometric functions allows for an explicit representation of the equilibrium dynamics of the variables in level. In contrast to the preexisting approaches, our method is global and does not rely on dimension reduction
  • Special functions; hypergeometric functions; optimal control; Lucas-Uzawa model; economic dynamics
  • RePEc:ctl:louvir:2004026
Language
  • English
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