Multivalued Functions, Branch Points, and Cuts

  • Harold Cohen


Because ei2π = 1, it is straightforward to see that if the argument of a complex variable z is increased by 2π, one obtains the same value of the complex variable. That is, for a given r and θ, we write
$$ z(r,\theta ) = re^{i\theta } $$
$$ z(r,\theta + 2\pi ) = re^{i\theta } e^{2i\pi } = re^{i\theta } = z(r,\theta ) $$


Real Axis Branch Point Multivalued Function Root Function Positive Real Axis 
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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Harold Cohen
    • 1
  1. 1.Department of Physics and AstronomyCalifornia State University, Los AngelesLos AngelesUSA

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