DLMF:14.3.E6 (Q4695): 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: Q11481 / rank
 
Normal rank
Property / Symbols used: Q11481 / qualifier
 
Defining formula:

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

Revision as of 01:13, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:14.3.E6
No description defined

    Statements

    Defining formula
    P ν μ ⁡ ( x ) = ( x + 1 x - 1 ) μ / 2 ⁢ 𝐅 ⁡ ( ν + 1 , - ν ; 1 - μ ; 1 2 - 1 2 ⁢ x ) . Legendre-P-first-kind 𝜇 𝜈 𝑥 superscript 𝑥 1 𝑥 1 𝜇 2 scaled-hypergeometric-bold-F 𝜈 1 𝜈 1 𝜇 1 2 1 2 𝑥 {\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\right)=\left(\frac{x+1}{x-1}% \right)^{\mu/2}\mathbf{F}\left(\nu+1,-\nu;1-\mu;\tfrac{1}{2}-\tfrac{1}{2}x% \right).}}
    0 references
    DLMF id
    DLMF:14.3.E6
    0 references
    Symbols used
    Q11481
    Defining formula
    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
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4695&oldid=30082"