I read the newspaper
Sengupta, Anirvan M. and Partha P. Mitra. "Distributions of the singular
values for some random matrices. "Physical Review E 60.3 (1999): 3389.
but got stuck in equation (3):
Right here $ lambda_n $ are the singular values of a matrix $ M $ (possibly considered a random matrix), $ rho ( lambda) $ denotes the density of singular values of $ M $, and the resolvent $ mathcal G (z) $ is defined by:
So, how (3) does it come from (2)?