DLMF:14.5.E19 (Q4731): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: hyperbolic cosine function / rank
 
Normal rank
Property / Symbols used: hyperbolic cosine function / qualifier
 
test:

cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}

\cosh@@{\NVar{z}}
Property / Symbols used: hyperbolic cosine function / qualifier
 
xml-id: C4.S28.E2.m2acdec

Revision as of 00:24, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:14.5.E19
No description defined

    Statements

    test
    P ν - ν ⁡ ( cosh ⁡ ξ ) = ( sinh ⁡ ξ ) ν 2 ν ⁢ Γ ⁡ ( ν + 1 ) . Legendre-P-first-kind 𝜈 𝜈 𝜉 superscript 𝜉 𝜈 superscript 2 𝜈 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle P^{-\nu}_{\nu}\left(\cosh\xi\right)=\frac{(\sinh% \xi)^{\nu}}{2^{\nu}\Gamma\left(\nu+1\right)}.}}
    0 references
    DLMF id
    DLMF:14.5.E19
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2afdec
    0 references
    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.m1abdec
    0 references
    hyperbolic cosine function
    test
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2acdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4731&oldid=26284"