DLMF:

4 Elementary Functions Logarithm, Exponential, Powers 4.13 Lambert $\mathop{W\/}\nolimits$ -Function 4.13 Lambert $\mathop{W\/}\nolimits$ -Function 4.14 Definitions and Periodicity

Figure 4.13.1 (See in context.)

Figure 4.13.1: Branches $\mathop{\mathrm{Wp}\/}\nolimits\!\left(x\right)$ and $\mathop{\mathrm{Wm}\/}\nolimits\!\left(x\right)$ of the Lambert $\mathop{W\/}\nolimits$ -function.

and

denote the points

and

, respectively, on the

-axis.

Annotations:

Symbols:: $\mathop{W\/}\nolimits\!\left(x\right)$ : Lambert $\mathop{W\/}\nolimits$ -function, $\mathop{\mathrm{Wm}\/}\nolimits\!\left(x\right)$ : nonprincipal branch of Lambert $\mathop{W\/}\nolimits$ -function, $\mathop{\mathrm{Wp}\/}\nolimits\!\left(x\right)$ : principal branch of Lambert $\mathop{W\/}\nolimits$ -function, : base of exponential function and : real variable
Keywords:: Lambert $\mathop{W\/}\nolimits$ -function
Permalink:: http://dlmf.nist.gov/4.13.F1.mag
Encodings:: Magnified png, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 4.13 Lambert $\mathop{W\/}\nolimits$ -Function 4.14 Definitions and Periodicity