DLMF:15.10.E25 (Q5141)

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DLMF:15.10.E25
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    w 1 ( z ) = Γ ( c ) Γ ( b - a ) Γ ( b ) Γ ( c - a ) w 5 ( z ) + Γ ( c ) Γ ( a - b ) Γ ( a ) Γ ( c - b ) w 6 ( z ) , subscript 𝑤 1 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑏 𝑎 Euler-Gamma 𝑏 Euler-Gamma 𝑐 𝑎 subscript 𝑤 5 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑎 𝑏 Euler-Gamma 𝑎 Euler-Gamma 𝑐 𝑏 subscript 𝑤 6 𝑧 {\displaystyle{\displaystyle w_{1}(z)=\frac{\Gamma\left(c\right)\Gamma\left(b-% a\right)}{\Gamma\left(b\right)\Gamma\left(c-a\right)}w_{5}(z)+\frac{\Gamma% \left(c\right)\Gamma\left(a-b\right)}{\Gamma\left(a\right)\Gamma\left(c-b% \right)}w_{6}(z),}}
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