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DLMF:16.16.E9 - MaRDI portal

DLMF:16.16.E9 (Q5972)

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DLMF:16.16.E9
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    Statements

    DLMF defining formula
    F 2 ⁡ ( α ; β , β ′ ; γ , γ ′ ; x , y ) = ( 1 - x ) - α ⁢ F 2 ⁡ ( α ; γ - β , β ′ ; γ , γ ′ ; x x - 1 , y 1 - x ) , Appell-F-2 𝛼 𝛽 superscript 𝛽 ′ 𝛾 superscript 𝛾 ′ 𝑥 𝑦 superscript 1 𝑥 𝛼 Appell-F-2 𝛼 𝛾 𝛽 superscript 𝛽 ′ 𝛾 superscript 𝛾 ′ 𝑥 𝑥 1 𝑦 1 𝑥 {\displaystyle{\displaystyle{F_{2}}\left(\alpha;\beta,\beta^{\prime};\gamma,% \gamma^{\prime};x,y\right)=(1-x)^{-\alpha}{F_{2}}\left(\alpha;\gamma-\beta,% \beta^{\prime};\gamma,\gamma^{\prime};\frac{x}{x-1},\frac{y}{1-x}\right),}}
    0 references
    Symbols used
    second Appell function
    DLMF defining formula
    F 2 ⁡ ( α ; β , β ′ ; γ , missing ; missing , missing ) Appell-F-2 𝛼 𝛽 superscript 𝛽 ′ 𝛾 missing missing missing {\displaystyle{\displaystyle{F_{2}}\left(\NVar{\alpha};\NVar{\beta},\NVar{% \beta^{\prime}};\NVar{\gamma},missing;missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C16.S13.E2.m2abdec
    0 references

    Identifiers

     
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