%0 Journal Article
%T On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
%A A. I. Aptekarev
%A G. L¨®pez Lagomasino
%A A. M¨¢rtinez-Finkelshtein
%J Mathematics
%D 2014
%I arXiv
%X We consider multiple orthogonal polynomials with respect to Nikishin systems generated by two measures $(\sigma_1, \sigma_2)$ with unbounded supports ($\mbox{supp} \, \sigma_1 \subseteq \mathbb{R}_+$, $\mbox{supp} \, \sigma_2 \subseteq \,\mathbb{R}_-$) and $\sigma_2$ is discrete. A Nikishin type equilibrium problem in the presence of an external field acting on $\mathbb{R}_+$ and a constraint on $ \mathbb{R}_-$ is stated and solved. The solution is used for deriving the contracted zero distribution of the associated multiple orthogonal polynomials.
%U http://arxiv.org/abs/1403.3729v1