Periodic Schwarz-Christoffel mappings with multiple boundaries per period.We present an extension to the theory of Schwarz-Christoffel (S-C) mappings by permitting the target domain to be a single period window of a periodic configuration having multiple polygonal (straight-line) boundaries per period. 
Schwarz-Christoffel
The new S-C mapping formulae are shown to be expressible in terms of the Schottky-Klein prime function associated with the circular preimage domains. 
Schottky-Klein prime function