DLMF:7.18.E6 (Q2456): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
Defining formula:

Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2aadec

Revision as of 13:32, 2 January 2020

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DLMF:7.18.E6
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    i n erfc ( z ) = k = 0 ( - 1 ) k z k 2 n - k k ! Γ ( 1 + 1 2 ( n - k ) ) . repeated-integral-complementary-error-function 𝑛 𝑧 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 𝑘 superscript 2 𝑛 𝑘 𝑘 Euler-Gamma 1 1 2 𝑛 𝑘 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% =\sum_{k=0}^{\infty}\frac{(-1)^{k}z^{k}}{2^{n-k}k!\Gamma\left(1+\frac{1}{2}(n-% k)\right)}.}}
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    DLMF:7.18.E6
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references