DLMF:11.4.E30 (Q3962): 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.m2ahdec

Revision as of 14:42, 2 January 2020

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DLMF:11.4.E30
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    Statements

    d d z ( z - ν 𝐋 ν ( z ) ) = 2 - ν π Γ ( ν + 3 2 ) + z - ν 𝐋 ν + 1 ( z ) . derivative 𝑧 superscript 𝑧 𝜈 modified-Struve-L 𝜈 𝑧 superscript 2 𝜈 𝜋 Euler-Gamma 𝜈 3 2 superscript 𝑧 𝜈 modified-Struve-L 𝜈 1 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left(z^{-\nu}% \mathbf{L}_{\nu}\left(z\right)\right)=\frac{2^{-\nu}}{\sqrt{\pi}\Gamma\left(% \nu+\tfrac{3}{2}\right)}+z^{-\nu}\mathbf{L}_{\nu+1}\left(z\right).}}
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    DLMF:11.4.E30
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2ahdec
    0 references