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Riemann Surfaces of Inverse Trigonometric Functions

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arcsin
arccos
arcsec
arccsc
arctan
arccot
Re/Im ratio α
The graphic shows some sheets of the Riemann surface of
(1-α)Re(f(z))+αIm(f(z))
for an inverse trigonometric function
f
. For purely real or imaginary parts (
α=0
or
α=1
), multiple sheets can degenerate into a single sheet.
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