Display Abstract

Title Hypergeometric functions and transition dynamics in a model of optimal growth with a renewable natural resource

Name Jose-Ramon Ruiz-Tamarit
Country Spain
Email ramon.ruiz@uv.es
Co-Author(s)
Submit Time 2014-03-24 13:33:12
Session
Special Session 129: Qualitative and Quantitative Techniques for Differential Equations arising in Economics, Finance and Natural Sciences
Contents
Special functions are commonly used in mathematical physics and computational mathematics to solve differential systems.The area of Special functions is not a new research area. Among their multiple uses, there is the case of the Gauss hypergeometric function, which allowed solving nicely the so-called hypergeometric differential equation. We use this class of functions in our inquiry about different models taken from the most recent endogenous growth literature, notably those applied to environmental problems and sustainable development. We claim that researchers in economic dynamics should use these powerful tools if possible, given that they can be decisive if one aims at getting beyond the computational and/or local approaches typically and intensively adopted in economics.