The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
2005 ◽
Vol 461
(2061)
◽
pp. 2653-2678
◽
Keyword(s):
A formula for the generalized Schwarz–Christoffel mapping from a bounded multiply connected circular domain to a bounded multiply connected polygonal domain is derived. The theory of classical Schottky groups is employed. The formula for the derivative of the mapping function contains a product of powers of Schottky–Klein prime functions associated with a Schottky group relevant to the circular pre-image domain. The formula generalizes, in a natural way, the known mapping formulae for simply and doubly connected polygonal domains.
2014 ◽
Vol 470
(2163)
◽
pp. 20130698
◽
2010 ◽
Vol 68
(3)
◽
pp. 563-590
◽
Keyword(s):
2014 ◽
Vol 470
(2166)
◽
pp. 20130848
◽
2012 ◽
Vol 72
(3)
◽
pp. 919-934
◽
Keyword(s):
2019 ◽
Vol 475
(2228)
◽
pp. 20190225
◽
2019 ◽
Vol 2019
(753)
◽
pp. 23-56
◽
2005 ◽
Vol 9
(2)
◽
pp. 137-148
Keyword(s):