DLMF:14.7.E15 (Q4767)

From DRMF
Revision as of 01:30, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:14.7.E15
No description defined

    Statements

    Defining formula
    P m m ⁡ ( x ) = ( 2 ⁢ m ) ! 2 m ⁢ m ! ⁢ ( x 2 - 1 ) m / 2 . Legendre-P-first-kind 𝑚 𝑚 𝑥 2 𝑚 superscript 2 𝑚 𝑚 superscript superscript 𝑥 2 1 𝑚 2 {\displaystyle{\displaystyle P^{m}_{m}\left(x\right)=\frac{(2m)!}{2^{m}m!}% \left(x^{2}-1\right)^{m/2}.}}
    0 references
    DLMF id
    DLMF:14.7.E15
    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.m1acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4767&oldid=32063"