Section 2.3 The Mappings w = z^n and w = z^`1/n` - Maple Application Center
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Section 2.3 The Mappings w = z^n and w = z^`1/n`

Authors
: Dr. John Mathews
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The mapping w = z^2 or w = x^2-y^2+i*2*x*y can be expressed in polar coordinates by the function f(z) = r^2*exp(i*2*theta) . The mapping w = sqrt(z) can be expressed in polar coordinates by the function f(z) = f(r*exp(i*theta)) = sqrt(r)*exp(i*theta/2) .

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English

Tags

relativity

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