Electronic Theses and Dissertations

Date of Award


Document Type


Degree Name

Ph.D. in Mathematics



First Advisor

Erwin Mina Diaz

Second Advisor

Micah B. Milinovich

Third Advisor

Iwo Labuda

Relational Format



We investigate the asymptotic behavior of polynomials orthogonal over certain multiply connected domains. Each domain that we consider has an analytic boundary and is, in a strong sense, conformally equivalent to a canonical type of multiply connected domain called a circular domain. The two most general results involve the construction of a series expansion and an integral representation for these polynomials. We show that the integral representation can be utilized to derive more specific results when the domain of orthogonality is circular. In this case, we shed light on the manner in which the holes in the domain of orthogonality influence the polynomials.

Included in

Mathematics Commons



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