Publication:
Computation of conformal representations of compact Riemann surfaces

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/6267
ISSN: 0025-5718 (Print)
ISSN: 1088-6842 (Online)
DOI: 10.1090/S0025-5718-09-02265-0
Files
computation_lagomasino_moc_2010.pdf (242.47 KB)
Publication date
2010
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
We find a system of two polynomial equations in two unknowns, whose solution allows us to give an explicit expression of the conformal representation of a simply connected three-sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ratio asymptotic of multiple orthogonal polynomials with respect to so-called Nikishin systems of two measures.
Description
17 pages, 1 table.-- MSC2000 codes: Primary 30F99; Secondary 05E35, 30C30, 58C15.
Keywords
Orthogonal polynomials, Compact Riemann surfaces, Branched covering, Nonlinear equations, Newtonian continuation method
Bibliographic citation
Mathematics of Computation, 2010, vol. 79, p. 365-381
Collections
DM - GAMA - Artículos de Revistas