Applications that Depend on Conformal Mapping

Steven G. Krantz
Additional contact information
Steven G. Krantz: Washington University in St. Louis, Department of Mathematics

Chapter Chapter 14 in Handbook of Complex Variables, 1999, pp 163-194 from Springer

Abstract: Abstract Part of the utility of conformal mappings is that they can be used to transform a problem on a given domain V to another domain U (see also §§6.1.1). Often we take U to be a standard domain such as the disc 14.1.1.1 $$D = \{ z \in \mathbb{C}:|z| 0\} .$$ Particularly in the study of partial differential equations, it is important to have an explicit conformal mapping between the two domains. In the Appendix to this chapter we give a compendium of conformal mappings of some of the most frequently encountered planar regions.

Keywords: Harmonic Function; Dirichlet Problem; Conformal Mapping; Numerical Technique; Half Plane (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1588-2_14

Ordering information: This item can be ordered from
http://www.springer.com/9781461215882

DOI: 10.1007/978-1-4612-1588-2_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().