DLMF:14.7.E1 (Q4751): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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
 
Defining formula:

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 01:27, 2 January 2020

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DLMF:14.7.E1
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    Statements

    Defining formula
    𝖯 n 0 ⁡ ( x ) = 𝖯 n ⁡ ( x ) = P n 0 ⁡ ( x ) = P n ⁡ ( x ) , Ferrers-Legendre-P-first-kind 0 𝑛 𝑥 shorthand-Ferrers-Legendre-P-first-kind 𝑛 𝑥 Legendre-P-first-kind 0 𝑛 𝑥 Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{0}_{n}\left(x\right)=\mathsf{P}_{n}% \left(x\right)=P^{0}_{n}\left(x\right)=P_{n}\left(x\right),}}
    0 references
    DLMF id
    DLMF:14.7.E1
    0 references
    constraint
    x ∈ ℝ 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}
    0 references
    Symbols used
    Ferrers function of the first kind
    Defining formula
    𝖯 ν μ ⁡ ( x ) Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C14.S3.E1.m2adec
    0 references
     
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