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DLMF: Figure 4.13.2 ‣ §4.13 Lambert 𝑊-Function ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions
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4 Elementary FunctionsLogarithm, Exponential, Powers4.13 Lambert W-Function
Figure 4.13.2 (See in context.)
See accompanying text
Figure 4.13.2: The W⁡(z) function on the first 5 Riemann sheets. W⁡(z) maps the first Riemann sheet |ph⁡(z+e−1)|<π in the middle of the left-hand side to the region enclosed by the green curve on the right-hand side; it maps the Riemann sheet π<ph⁡z<3⁢π on the left-hand side to the region enclosed by the pink, green and orange curves on the right-hand side, etc.
ⓘ
Annotations:
Symbols:
W⁡(z): Lambert W-function, π: the ratio of the circumference of a circle to its diameter, e: base of natural logarithm, ph: phase and z: complex variable
Keywords:
Lambert W-function, branch cuts
Permalink:
http://dlmf.nist.gov/4.13.F2.mag
Encodings:
Magnified png, pdf
Addition (effective with 1.1.7):
This figure was added.
See also:
Annotations for §4.13 and Ch.4
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