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dc.creatorTaylor, Howard Edward
dc.date.accessioned 2007-08-21T01:08:54Z
dc.date.available 2007-08-21T01:08:54Z
dc.date.issued 1950
dc.identifier.urihttps://hdl.handle.net/1911/18466
dc.description.abstract The purpose of this paper is to study three classes of surfaces, two classes consisting of simply connected surfaces and one class consisting of doubly connected surfaces. The singularities of the members of the classes will be classified using the classification of Iversen. If w = o is an isolated transcendental singularity of the Riemann surface F let Fo be the connected piece of F lying over |w - o| < r abutting on the singularity. Select r small enough so that no other transcendental singularity of F lies in Fo. Fo is mapped onto a domain Delta in the z-plane by a function z = ϕDelta (w) which consists of one or more uniform branches. The singularity is classified according to the behavior of the branches of ϕDelta (w) at w = o.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Determination of the type and properties of the mapping function for certain classes of Riemann surfaces
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Taylor, Howard Edward. "Determination of the type and properties of the mapping function for certain classes of Riemann surfaces." (1950) Diss., Rice University. https://hdl.handle.net/1911/18466.


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