DLMF:12.2.E13 (Q4098)

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DLMF:12.2.E13
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    Statements

    Defining formula
    U ⁡ ( - n - 1 2 , - z ) = ( - 1 ) n ⁢ U ⁡ ( - n - 1 2 , z ) , parabolic-U 𝑛 1 2 𝑧 superscript 1 𝑛 parabolic-U 𝑛 1 2 𝑧 {\displaystyle{\displaystyle U\left(-n-\tfrac{1}{2},-z\right)=(-1)^{n}U\left(-% n-\tfrac{1}{2},z\right),}}
    0 references
    DLMF id
    DLMF:12.2.E13
    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.m1afdec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1hdec
    0 references
    Q11518
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C12.S1.XMD4.m1dec
    0 references
     
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