Cauchy Type Integrals of Algebraic Functions

F. Pakovich, N. Roytvarf, Y. Yomdin

We consider Cauchy type integrals $I(t)=\frac{1}{2\pi i}{\int }_{\gamma }\frac{g(z)dz}{z-t}$ with $g(z)$ an algebraic function. The main goal is to give constructive (at least, in principle) cond…