Lambert W function
multivalued function that is the inverse of the map z ↦ z exp(z)
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Lambert W function
Summary
Lambert W function is a function[1]. It ranks in the top 3% of function entities by monthly Wikipedia readership (728 views/month).[2]
Key Facts
- Lambert W function's image is recorded as Lambert-w.svg[3].
- Lambert W function's instance of is recorded as function[4].
- Johann Heinrich Lambert is named after Lambert W function[5].
- Lambert W function's Commons category is recorded as Lambert W function[6].
- Lambert W function's Freebase ID is recorded as /m/0m_5j[7].
- Lambert W function's approximation algorithm is recorded as Newton's method[8].
- Lambert W function's Stack Exchange tag is recorded as https://or.stackexchange.com/tags/lambert-w[9].
- Lambert W function's defining formula is recorded as z=W(z)\exp W(z)[10].
- Lambert W function's MathWorld ID is recorded as LambertW-Function[11].
- Lambert W function's Quora topic ID is recorded as Lambert-W-Function[12].
- Lambert W function's nLab ID is recorded as Lambert W-function[13].
- Lambert W function's maintained by WikiProject is recorded as WikiProject Mathematics[14].
- Lambert W function's Microsoft Academic ID is recorded as 130924491[15].
- Lambert W function's ProofWiki ID is recorded as Definition:Lambert_W_Function[16].
- Lambert W function's in defining formula is recorded as z[17].
- Lambert W function's in defining formula is recorded as W(z)[18].
- Lambert W function's in defining formula is recorded as \exp[19].
- Lambert W function's Namuwiki ID is recorded as 람베르트 W 함수[20].
- Lambert W function's OpenAlex ID is recorded as C130924491[21].
- Lambert W function's power series expansion is recorded as \begin{align} 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+\ldots \end{align}[22].
Why It Matters
Lambert W function ranks in the top 3% of function entities by monthly Wikipedia readership (728 views/month).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[23] It is known by 12 alternative names across languages and contexts.[24]