Riemann Surfaces of Inverses of Sums of Two Trigonometric Functions
Riemann Surfaces of Inverses of Sums of Two Trigonometric Functions
The graphic shows some sheets of the Riemann surface of for inverses of sums of trigonometric functions and . For purely real or imaginary parts ( or ), multiple sheets can degenerate into a single sheet.
g
f
1
f
2
α=0
α=1
g(z)=(1-α)Re+αIm
(-1)
(((1-ξ)(z))+ξ(z))
f
1
f
2
(-1)
(((1-ξ)(z))+ξ(z))
f
1
f
2