Formula:1773

Digital Library of Mathematical Functions ID 4.13.E5

${\displaystyle{\displaystyle\mathrm{Wp}\left(x\right)=\sum_{n=1}^{\infty}(-1)^{n-1}\frac{n^{n-2}}{(n-1)!}x^{n},}}$

Constraint(s)

${\displaystyle{\displaystyle|x|<\dfrac{1}{e}}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Wp}\left(\NVar{x}\right)}}$: principal branch of Lambert W -function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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