Abstract. We consider a finite mass points perturbation of a measure supported by a system of curves and arcs in the complex plane. We study the corresponding perturbation of the ratio asymptotics of the associated monic orthogonal polynomials. Our main result gives a description of the perturbations for which the ratio asymptotics is not changed.

DOI: 10.14232/actasm-013-335-z

AMS Subject Classification (1991): 26C05

Keyword(s): polynomials

Received December 27, 2013, and in final form May 17, 2014. (Registered under 85/2013.)