Formula:1775

Digital Library of Mathematical Functions ID 4.13.E6

${\displaystyle{\displaystyle W\left(-e^{-1-(t^{2}/2)}\right)=\sum_{n=0}^{\infty}(-1)^{n-1}c_{n}t^{n},}}$

Constraint(s)

${\displaystyle{\displaystyle|t|<2\sqrt{\pi}}}$

Symbols List

• ${\displaystyle{\displaystyle W\left(\NVar{x}\right)}}$: Lambert $$W$$ -function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle c_{i}}}$: coefficients
 

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