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Complex inverse sine ( $arcsin z$ )

The principal complex inverse sine on

C ∖ ((- \infty, - 1] \cup [1, \infty))

is the branch

arcsin z = \int_{0}^{z} \frac{d t}{1 - t ^{2}}

whose derivative equals one at zero.

Table of contents 50 1
- Branches of the complex inverse sine Complex inverse sine 31

 Ancestors (5)

 Incoming links (1)

Branches of the complex inverse sine