DLMF:13.3.E11 (Q4345)

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DLMF:13.3.E11
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    Statements

    test
    ( a + z ) ⁢ U ⁡ ( a , b , z ) - z ⁢ U ⁡ ( a , b + 1 , z ) + a ⁢ ( b - a - 1 ) ⁢ U ⁡ ( a + 1 , b , z ) = 0 , 𝑎 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 𝑎 𝑏 𝑎 1 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 𝑧 0 {\displaystyle{\displaystyle(a+z)U\left(a,b,z\right)-zU\left(a,b+1,z\right)+a(% b-a-1)U\left(a+1,b,z\right)=0,}}
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    DLMF id
    DLMF:13.3.E11
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