you can go through

Financial development and economic growth in Latin America: Is Schumpeter right?.... ( Journal of Policy Modeling Volume 34, Issue 3, May–June 2012, Pages 341-355)

The Finance-Growth Link in Latin America.......by Luisa Blanco

I think it is nonlinear real GDP is a function of Fd, Fdsquared

If you want learn, you must look or study on Main objective of your is to investigate linear and causal relationship between financial development and economic growth by providing empirical evidence from Latin America. Theoretical and empirical finance-growth nexus literature has been examined in depth, theoretical link between finance and growth is explained in detail and terminally panel regression method and Granger Causality tests are estimated to acquire practicable policy implications. I think, bank sector in Latin America is very important for relationship between financial development and economic growth.

Article On ‘Finance and economic growth in the aftermath of the crisis’

Use this link to access to a very influential literature! Good Luck!