DLMF:4.13.E5 (Q1646): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aedec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: Q11223 / rank
 
Normal rank
Property / Symbols used: Q11223 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11223 / qualifier
 
xml-id: C4.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11218 / qualifier
 
xml-id: C4.S1.XMD6.m1ddec

Latest revision as of 17:17, 1 January 2020

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English
DLMF:4.13.E5
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    Statements

    Wp ( x ) = n = 1 ( - 1 ) n - 1 n n - 2 ( n - 1 ) ! x n , Lambert-Wp 𝑥 superscript subscript 𝑛 1 superscript 1 𝑛 1 superscript 𝑛 𝑛 2 𝑛 1 superscript 𝑥 𝑛 {\displaystyle{\displaystyle\mathrm{Wp}\left(x\right)=\sum_{n=1}^{\infty}(-1)^% {n-1}\frac{n^{n-2}}{(n-1)!}x^{n},}}
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    | x | < 1 e 𝑥 1 𝑒 {\displaystyle{\displaystyle|x|<\dfrac{1}{e}}}
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    Wp ( x ) Lambert-Wp 𝑥 {\displaystyle{\displaystyle\mathrm{Wp}\left(\NVar{x}\right)}}
    C4.S13.p2.m8abdec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aedec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C4.S1.XMD3.m1dec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C4.S1.XMD6.m1ddec
    0 references