DLMF:14.7.E4 (Q4754): Difference between revisions

From DRMF
Jump to navigation Jump to search
Newer edit →
‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10920 / rank
 
Normal rank
Property / Symbols used: Q10920 / qualifier
 
Defining formula:

P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

\LegendrepolyP{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q10920 / qualifier
 
xml-id: C18.S3.T1.t1.r10.m2abdec

Revision as of 01:28, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:14.7.E4
No description defined

    Statements

    Defining formula
    W n - 1 ⁢ ( x ) = ∑ k = 1 n 1 k ⁢ P k - 1 ⁡ ( x ) ⁢ P n - k ⁡ ( x ) . subscript 𝑊 𝑛 1 𝑥 superscript subscript 𝑘 1 𝑛 1 𝑘 Legendre-spherical-polynomial 𝑘 1 𝑥 Legendre-spherical-polynomial 𝑛 𝑘 𝑥 {\displaystyle{\displaystyle W_{n-1}(x)=\sum_{k=1}^{n}\frac{1}{k}P_{k-1}\left(% x\right)P_{n-k}\left(x\right).}}
    0 references
    DLMF id
    DLMF:14.7.E4
    0 references
    Symbols used
    Q10920
    Defining formula
    P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r10.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4754&oldid=31775"