DLMF:14.20.E12 (Q4933): 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: Q11481 / rank
 
Normal rank
Property / Symbols used: Q11481 / qualifier
 
Defining formula:

P ν μ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\assLegendreP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Q11481 / qualifier
 
xml-id: C14.S21.SS1.p1.m1abdec

Revision as of 13:34, 2 January 2020

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DLMF:14.20.E12
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    Statements

    g ( x ) = 0 P - 1 2 + i τ μ ( x ) f ( τ ) d τ . 𝑔 𝑥 superscript subscript 0 Legendre-P-first-kind 𝜇 1 2 𝑖 𝜏 𝑥 𝑓 𝜏 𝜏 {\displaystyle{\displaystyle g(x)=\int_{0}^{\infty}P^{\mu}_{-\frac{1}{2}+i\tau% }\left(x\right)f(\tau)\mathrm{d}\tau.}}
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    DLMF:14.20.E12
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    P ν μ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C14.S21.SS1.p1.m1abdec
    0 references