DLMF:12.8.E2 (Q4139)

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DLMF:12.8.E2
No description defined

    Statements

    Defining formula
    U ′ ⁡ ( a , z ) + 1 2 ⁢ z ⁢ U ⁡ ( a , z ) + ( a + 1 2 ) ⁢ U ⁡ ( a + 1 , z ) = 0 , diffop parabolic-U 1 𝑎 𝑧 1 2 𝑧 parabolic-U 𝑎 𝑧 𝑎 1 2 parabolic-U 𝑎 1 𝑧 0 {\displaystyle{\displaystyle U'\left(a,z\right)+\tfrac{1}{2}zU\left(a,z\right)% +(a+\tfrac{1}{2})U\left(a+1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:12.8.E2
    0 references
    Symbols used
    Q11320
    Defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1aadec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1adec
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    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1adec
    0 references
     
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