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Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI

We present a novel method to solve the accessory parameter problem arising in constructing conformal maps from a canonical simply connected planar region to the interior of a circular arc quadrilateral. The Schwarz–Christoffel accessory parameter problem, relevant when all sides have zero curvature,...

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Detalles Bibliográficos
Autores principales: Anselmo, Tiago, Nelson, Rhodri, Carneiro da Cunha, Bruno, Crowdy, Darren G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6127398/
https://www.ncbi.nlm.nih.gov/pubmed/30220867
http://dx.doi.org/10.1098/rspa.2018.0080