DLMF:12.8.E3 (Q4140)

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DLMF:12.8.E3
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    U ( a , z ) - 1 2 z U ( a , z ) + U ( a - 1 , z ) = 0 , diffop parabolic-U 1 𝑎 𝑧 1 2 𝑧 parabolic-U 𝑎 𝑧 parabolic-U 𝑎 1 𝑧 0 {\displaystyle{\displaystyle U'\left(a,z\right)-\tfrac{1}{2}zU\left(a,z\right)% +U\left(a-1,z\right)=0,}}
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