Évènement

Erwin Miña Díaz
University of Mississippi
https://math.olemiss.edu/erwin-mina-diaz/

Date(s) : 24/10/2016   iCal
10h00 - 11h00

The asymptotic behavior of P_n(z) as n →∞ has been investigated to a considerable extent, particularly when the region D is a simply connected domain bounded by a Jordan curve. In this work we investigate the situation when the domain of orthogonality is no longer simply connected but a multiply connected domain, trying to understand how the holes in the domain influence the asymptotic behavior of P_n inside D. Of particular interest is the canonical case of a circular multiply connected domain (CMCD) consisting of a disk with a finite number of mutually disjoint subdisks removed. We will also consider domains D that are conformally equivalent in a strong sense to a CMCD. This is a joint work with James Henegan.

https://arxiv.org/abs/1904.04810

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• Séminaire