“…In this part of the paper, we consider Angelesco system, as in Part 3, see (3.0.1), in the case when supp µ i " ∆ i , dµ i pxq " µ 1 i pxqdx, µ i pxq ą 0, x P ∆ i , and µ 1 i pxq is a restriction of an analytic function defined around ∆ i . This situation was studied in great detail in [9] and [10], see also [42]. In particular, it was proved that J κ, N converges to a limiting operator L piq c when N goes to infinity along the ray N c " n : n i " c i | n| `op| n|q, i P t1, 2u ( , pc 1 , c 2 q " pc, 1 ´cq, c P r0, 1s.…”