DLMF:18.30.E7 (Q6005): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11744 / rank
 
Normal rank
Property / Symbols used: Q11744 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q11744 / qualifier
 
xml-id: C18.S1.XMD4.m1adec

Revision as of 13:26, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.30.E7
No description defined

    Statements

    P n ( x ; c ) = = 0 n c + c P ( x ) P n - ( x ) . Legendre-spherical-polynomial-P 𝑛 𝑥 𝑐 superscript subscript 0 𝑛 𝑐 𝑐 Legendre-spherical-polynomial 𝑥 Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{n}\left(x;c\right)=\sum_{\ell=0}^{n}\frac{c}{% \ell+c}P_{\ell}\left(x\right)P_{n-\ell}\left(x\right).}}
    0 references
    DLMF:18.30.E7
    0 references
    P n ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r10.m2adec
    0 references
    P n ( x ; c ) Legendre-spherical-polynomial-P 𝑛 𝑥 𝑐 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x};\NVar{c}\right)}}
    C18.S30.E6.m2aadec
    0 references
    {\displaystyle{\displaystyle\ell}}
    C18.S1.XMD4.m1adec
    0 references