DLMF:14.10.E6 (Q4815): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11481 / rank
 
Normal rank
Property / Symbols used: Q11481 / qualifier
 
test:

P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\assLegendreP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Q11481 / qualifier
 
xml-id: C14.S21.SS1.p1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11589 / rank
 
Normal rank
Property / Symbols used: Q11589 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11589 / qualifier
 
xml-id: C14.S1.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: Q11591 / rank
 
Normal rank
Property / Symbols used: Q11591 / qualifier
 
test:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: Q11591 / qualifier
 
xml-id: C14.S1.XMD7.m1edec
Property / Symbols used
 
Property / Symbols used: Q11590 / rank
 
Normal rank
Property / Symbols used: Q11590 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11590 / qualifier
 
xml-id: C14.S1.XMD8.m1edec

Latest revision as of 00:39, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:14.10.E6
No description defined

    Statements

    test
    P ν μ + 2 ⁡ ( x ) + 2 ⁢ ( μ + 1 ) ⁢ x ⁢ ( x 2 - 1 ) - 1 / 2 ⁢ P ν μ + 1 ⁡ ( x ) - ( ν - μ ) ⁢ ( ν + μ + 1 ) ⁢ P ν μ ⁡ ( x ) = 0 , Legendre-P-first-kind 𝜇 2 𝜈 𝑥 2 𝜇 1 𝑥 superscript superscript 𝑥 2 1 1 2 Legendre-P-first-kind 𝜇 1 𝜈 𝑥 𝜈 𝜇 𝜈 𝜇 1 Legendre-P-first-kind 𝜇 𝜈 𝑥 0 {\displaystyle{\displaystyle{P^{\mu+2}_{\nu}\left(x\right)+2(\mu+1)x\left(x^{2% }-1\right)^{-1/2}P^{\mu+1}_{\nu}\left(x\right)}-(\nu-\mu)(\nu+\mu+1)P^{\mu}_{% \nu}\left(x\right)=0,}}
    0 references
    DLMF id
    DLMF:14.10.E6
    0 references
    Symbols used
    Q11481
    test
    P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C14.S21.SS1.p1.m1adec
    0 references
    Q11589
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C14.S1.XMD1.m1edec
    0 references
    Q11591
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C14.S1.XMD7.m1edec
    0 references
    Q11590
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C14.S1.XMD8.m1edec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4815&oldid=26860"