DLMF:16.16.E6 (Q5272)

From testwiki
Revision as of 13:42, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:16.16.E6
No description defined

    Statements

    test
    F 4 ⁡ ( α , β ; γ , α + β - γ + 1 ; x ⁢ ( 1 - y ) , y ⁢ ( 1 - x ) ) = F 1 2 ⁡ ( α , β γ ; x ) ⁢ F 1 2 ⁡ ( α , β α + β - γ + 1 ; y ) . Appell-F-4 𝛼 𝛽 𝛾 𝛼 𝛽 𝛾 1 𝑥 1 𝑦 𝑦 1 𝑥 Gauss-hypergeometric-F-as-2F1 𝛼 𝛽 𝛾 𝑥 Gauss-hypergeometric-F-as-2F1 𝛼 𝛽 𝛼 𝛽 𝛾 1 𝑦 {\displaystyle{\displaystyle{F_{4}}\left(\alpha,\beta;\gamma,\alpha+\beta-% \gamma+1;x(1-y),y(1-x)\right)={{}_{2}F_{1}}\left({\alpha,\beta\atop\gamma};x% \right){{}_{2}F_{1}}\left({\alpha,\beta\atop\alpha+\beta-\gamma+1};y\right).}}
    0 references
    DLMF id
    DLMF:16.16.E6
    0 references
    Symbols used
    fourth Appell function
    test
    F 4 ⁡ ( α , β ; γ , γ ′ ⁢ missing ⁢ missing ; missing , missing ) Appell-F-4 𝛼 𝛽 𝛾 superscript 𝛾 ′ missing missing {\displaystyle{\displaystyle{F_{4}}\left(\NVar{\alpha},\NVar{\beta};\NVar{% \gamma},\NVar{\gamma^{\prime}}{missing}{missing};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C16.S13.E4.m2adec
    0 references
    Q11581
    test
    F 1 2 ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}
    xml-id
    C16.S2.m5acdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5272&oldid=30386"