DLMF:14.7.E18 (Q4770): 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: Ferrers function of the second kind / rank
 
Normal rank
Property / Symbols used: Ferrers function of the second kind / qualifier
 
Defining formula:

𝖰 ν μ ( x ) Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

\FerrersQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: Ferrers function of the second kind / qualifier
 
xml-id: C14.S3.E2.m2abdec

Revision as of 01:30, 2 January 2020

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DLMF:14.7.E18
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    Statements

    𝖰 n ± m ( - x ) = ( - 1 ) n - m - 1 𝖰 n ± m ( x ) . Ferrers-Legendre-Q-first-kind plus-or-minus 𝑚 𝑛 𝑥 superscript 1 𝑛 𝑚 1 Ferrers-Legendre-Q-first-kind plus-or-minus 𝑚 𝑛 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\pm m}_{n}\left(-x\right)=(-1)^{n-m-1}% \mathsf{Q}^{\pm m}_{n}\left(x\right).}}
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    DLMF:14.7.E18
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    𝖰 ν μ ( x ) Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    C14.S3.E2.m2abdec
    0 references