The Schwarz-Christoffel Conformal Mapping for “Polygons” with Infinitely Many Sides
Joint Authors
Carrasco, Hernán
Riera, Gonzalo
Preiss, Rubén
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-08-31
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The classical Schwarz-Christoffel formula gives conformal mappings of the upper half-plane onto domains whose boundaries consist of a finite number of line segments.
In this paper, we explore extensions to boundary curves which in one sense or another are made up of infinitely many line segments, with specific attention to the “infinite staircase” and to the Koch snowflake, for both of which we develop explicit formulas for the mapping function and explain how one can use standard mathematical software to generate corresponding graphics.
We also discuss a number of open questions suggested by these considerations, some of which are related to differentials on hyperelliptic surfaces of infinite genus.
American Psychological Association (APA)
Riera, Gonzalo& Carrasco, Hernán& Preiss, Rubén. 2008. The Schwarz-Christoffel Conformal Mapping for “Polygons” with Infinitely Many Sides. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-20.
https://search.emarefa.net/detail/BIM-464897
Modern Language Association (MLA)
Riera, Gonzalo…[et al.]. The Schwarz-Christoffel Conformal Mapping for “Polygons” with Infinitely Many Sides. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-20.
https://search.emarefa.net/detail/BIM-464897
American Medical Association (AMA)
Riera, Gonzalo& Carrasco, Hernán& Preiss, Rubén. The Schwarz-Christoffel Conformal Mapping for “Polygons” with Infinitely Many Sides. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-20.
https://search.emarefa.net/detail/BIM-464897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464897