DLMF:13.3.E14 (Q4348)

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DLMF:13.3.E14
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    ( a + 1 ) z U ( a + 2 , b + 2 , z ) + ( z - b ) U ( a + 1 , b + 1 , z ) - U ( a , b , z ) = 0 . 𝑎 1 𝑧 Kummer-confluent-hypergeometric-U 𝑎 2 𝑏 2 𝑧 𝑧 𝑏 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 1 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 0 {\displaystyle{\displaystyle(a+1)zU\left(a+2,b+2,z\right)+(z-b)U\left(a+1,b+1,% z\right)-U\left(a,b,z\right)=0.}}
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