DLMF:2.8.E31 (Q966): 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: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1ahdec

Revision as of 17:29, 1 January 2020

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DLMF:2.8.E31
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    Statements

    B s ( ξ ) = - A s ( ξ ) + 1 | ξ | 1 / 2 ξ 0 ( ψ ( v ) A s ( v ) - ( ν + 1 2 ) A s ( v ) ) d v | v | 1 / 2 , subscript 𝐵 𝑠 𝜉 superscript subscript 𝐴 𝑠 𝜉 1 superscript 𝜉 1 2 superscript subscript 𝜉 0 𝜓 𝑣 subscript 𝐴 𝑠 𝑣 𝜈 1 2 superscript subscript 𝐴 𝑠 𝑣 𝑣 superscript 𝑣 1 2 {\displaystyle{\displaystyle B_{s}(\xi)=-A_{s}^{\prime}(\xi)+\frac{1}{|\xi|^{1% /2}}\int_{\xi}^{0}\left(\psi(v)A_{s}(v)-\left(\nu+\tfrac{1}{2}\right)A_{s}^{% \prime}(v)\right)\frac{\mathrm{d}v}{|v|^{1/2}},}}
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    DLMF:2.8.E31
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1ahdec
    0 references