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Special Functions by Roderick Wong, Richard Beals

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Appendix A: Complex analysis

 

 

 

 

This section contains a brief review of terminology and results from complex analysis that are used in the text.

If z = x + iy is a complex number, x and y real, then

image

where is the modulus |z| of z and θ is the argument arg z of z. where r = The logarithm

image

is multiple-valued: defined only up to integer multiples of 2πi. The power

is also multiple-valued, unless a is an integer.

Typically, one makes these functions ...

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