DLMF:12.8.E4 (Q4141)

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DLMF:12.8.E4
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    Statements

    Defining formula
    2 ⁢ U ′ ⁡ ( a , z ) + U ⁡ ( a - 1 , z ) + ( a + 1 2 ) ⁢ U ⁡ ( a + 1 , z ) = 0 . 2 diffop parabolic-U 1 𝑎 𝑧 parabolic-U 𝑎 1 𝑧 𝑎 1 2 parabolic-U 𝑎 1 𝑧 0 {\displaystyle{\displaystyle 2U'\left(a,z\right)+U\left(a-1,z\right)+(a+\tfrac% {1}{2})U\left(a+1,z\right)=0.}}
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    DLMF id
    DLMF:12.8.E4
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