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Plot of the imaginary part of Wn(x + iy) for branches n = −2, −1, 0, 1, 2. The plot is similar to that of the multivalued complex logarithm function e
Plot of the imaginary part of Wn(x + iy) for branches n = −2, −1, 0, 1, 2. The plot is similar to that of the multivalued complex logarithm function except that the spacing between sheets is not constant and the connection of the principal sheet is different
Image: Invert W
Image: Invert W
The range of the W function, showing all branches. The black curves (including the real axis) form the image of the real axis, the orange curves are t
The range of the W function, showing all branches. The black curves (including the real axis) form the image of the real axis, the orange curves are the image of the imaginary axis. The purple curve is the image of a small circle around the point z = 0; the red curves are the image of a small circle around the point z = −1/e.
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Image: Complex exponential function graph horn shape xvw dimensions
Image: Complex exponential function graph horn shape xvw dimensions
Image: Complex exponential function graph spiral shape yvw dimensions
Image: Complex exponential function graph spiral shape yvw dimensions