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In the framework of the neoclassical growth model developed by Barro and Sala-i-Martin, the concept of $\sigma$-convergence is applied to a variety of regional sets of 19 countries of EU, on the level of NUTS1 and NUTS3 regions. The complex analysis was made on a large data base of real GDP per capita (divided by overall CPI) values obtained from the Eurostat for a cross-section of NUTS3 regions, and covering the period 2000–2011. Finally, the first stage non-linear regressions of the logarithmic expression of G...