1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

2.4 • BRANCHES OF FUNCTIONS 83

(a) A portion of D 1 and its image under w = / 1 •

(b) A portion of D2 and its image under w = /,.

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(c) A portion of Rand its image under w = z'2.

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v

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Figure 2.20 Formation of the Riemann surface for w = z ~: (a) a portion of Di and its
image under w = z! ; (b) a portion of Dz and its image under w = z! ; ( c) a port ion of

Rand its image under w = zt.