Complex Analysis: Conformal Mappings

[JulieK]

I am looking for conformal transformations to map:

1. Disk of radius R to equilateral triangular region with side A.

2. Disk of radius R to rectangular region with length L and width W.

3. Disk of radius R to elliptic disk with semi-major axis a and semi-minor axis b.

Thanks!

 

[Svein]

See Ahlfors (https://editorialdinosaurio.files.wordpress.com/2012/03/ahlfors_-_complex_analysis.pdf), page 227 and the following chapter.

 

[JulieK]

Many thanks!

 

[mathwonk]

maybe try churchill's book. https://www.amazon.com/dp/0070108552/?tag=pfamazon01-20