DLMF:11.10.E23 (Q4042): 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.m2acdec

Revision as of 14:57, 2 January 2020

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DLMF:11.10.E23
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    Statements

    𝐄 - n ( z ) = - 𝐇 - n ( z ) + ( - 1 ) n + 1 π k = 0 m 2 Γ ( n - k - 1 2 ) Γ ( k + 3 2 ) ( 1 2 z ) - n + 2 k + 1 , Weber-E 𝑛 𝑧 Struve-H 𝑛 𝑧 superscript 1 𝑛 1 𝜋 superscript subscript 𝑘 0 subscript 𝑚 2 Euler-Gamma 𝑛 𝑘 1 2 Euler-Gamma 𝑘 3 2 superscript 1 2 𝑧 𝑛 2 𝑘 1 {\displaystyle{\displaystyle\mathbf{E}_{-n}\left(z\right)=-\mathbf{H}_{-n}% \left(z\right)+\frac{(-1)^{n+1}}{\pi}\sum_{k=0}^{m_{2}}\frac{\Gamma\left(n\!-% \!k\!-\!\tfrac{1}{2}\right)}{\Gamma\left(k+\tfrac{3}{2}\right)}(\tfrac{1}{2}z)% ^{-n+2k+1},}}
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    DLMF:11.10.E23
    0 references
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2acdec
    0 references