DLMF:15.10.E21 (Q5137)

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DLMF:15.10.E21
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    Statements

    test
    w 1 ⁢ ( z ) = Γ ⁡ ( c ) ⁢ Γ ⁡ ( c - a - b ) Γ ⁡ ( c - a ) ⁢ Γ ⁡ ( c - b ) ⁢ w 3 ⁢ ( z ) + Γ ⁡ ( c ) ⁢ Γ ⁡ ( a + b - c ) Γ ⁡ ( a ) ⁢ Γ ⁡ ( b ) ⁢ w 4 ⁢ ( z ) , subscript 𝑤 1 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑐 𝑎 𝑏 Euler-Gamma 𝑐 𝑎 Euler-Gamma 𝑐 𝑏 subscript 𝑤 3 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑎 𝑏 𝑐 Euler-Gamma 𝑎 Euler-Gamma 𝑏 subscript 𝑤 4 𝑧 {\displaystyle{\displaystyle w_{1}(z)=\frac{\Gamma\left(c\right)\Gamma\left(c-% a-b\right)}{\Gamma\left(c-a\right)\Gamma\left(c-b\right)}w_{3}(z)+\frac{\Gamma% \left(c\right)\Gamma\left(a+b-c\right)}{\Gamma\left(a\right)\Gamma\left(b% \right)}w_{4}(z),}}
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    DLMF id
    DLMF:15.10.E21
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