DLMF:13.3.E10 (Q4344)

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DLMF:13.3.E10
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    Statements

    Defining formula
    ( b - a ) ⁢ U ⁡ ( a , b , z ) + U ⁡ ( a - 1 , b , z ) - z ⁢ U ⁡ ( a , b + 1 , z ) = 0 , 𝑏 𝑎 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 𝑧 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 0 {\displaystyle{\displaystyle(b-a)U\left(a,b,z\right)+U\left(a-1,b,z\right)-zU% \left(a,b+1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.3.E10
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2acdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1idec
    0 references
     
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