DLMF:14.23.E1 (Q4947): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Ferrers function of the first kind / rank
 
Normal rank
Property / Symbols used: Ferrers function of the first kind / qualifier
 
test:

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

\FerrersP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: Ferrers function of the first kind / qualifier
 
xml-id: C14.S3.E1.m2adec

Revision as of 12:38, 2 January 2020

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DLMF:14.23.E1
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    Statements

    P ν μ ( x ± i 0 ) = e μ π i / 2 𝖯 ν μ ( x ) , Legendre-P-first-kind 𝜇 𝜈 plus-or-minus 𝑥 𝑖 0 superscript 𝑒 minus-or-plus 𝜇 𝜋 𝑖 2 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\pm i0\right)=e^{\mp\mu\pi i/% 2}\mathsf{P}^{\mu}_{\nu}\left(x\right),}}
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    𝖯 ν μ ( x ) Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    C14.S3.E1.m2adec
    0 references