Multivalued function: Difference between revisions

Revision as of 06:51, 18 February 2014

Revision as of 07:19, 19 February 2014

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*Each [[complex number]] except zero has two square roots, three [[cube root]]s, and in general ''n'' [[nth roots]]. The [[nth root]] of 0 is 0.

*The [[complex logarithm]] function is multiple-valued. The values assumed by <math>log(1a+bi)</math> for real numbers <math>a</math> and <math>b</math> are <math>\arg (a+bi) + 2 \pi n i</math> for all [[integer]]s <math>n</math>.

*[[Inverse trigonometric function]]s are multiple-valued because trigonometric functions are periodic. We have