(Q429331)

English

Lambert W function

multivalued function that is the inverse of the map z ↦ z exp(z)

product logarithm
omega function

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Statements

instance of

function

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image

Lambert-w.svg
581 × 461; 87 KB

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named after

Johann Heinrich Lambert

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defining formula

z=W(z)\exp W(z)

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in defining formula

z

symbol represents

complex number

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W(z)

symbol represents

Lambert W function

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\exp

symbol represents

natural exponential function

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approximation algorithm

Newton's method

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maintained by WikiProject

WikiProject Mathematics

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power series expansion

W_{0}(x)=\sum _{n=1}^{\infty }{\frac {(-n)^{n-1}}{n!}}x^{n}=x-x^{2}+{\tfrac {3}{2}}x^{3}-{\tfrac {8}{3}}x^{4}+{\tfrac {125}{24}}x^{5}-\ldots

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Commons category

Lambert W function

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Identifiers

1 reference

28 October 2013

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

ProofWiki ID

Definition:Lambert_W_Function

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1 reference

Sitelinks

Wikipedia(22 entries)

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Multilingual sites(1 entry)

commonswiki Category:Lambert W function