DLMF:12.4.E6 (Q4114)

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DLMF:12.4.E6
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    Statements

    Defining formula
    u 2 ⁢ ( a , z ) = e 1 4 ⁢ z 2 ⁢ ( z + ( a - 3 2 ) ⁢ z 3 3 ! + ( a - 3 2 ) ⁢ ( a - 7 2 ) ⁢ z 5 5 ! + ⋯ ) . subscript 𝑢 2 𝑎 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 𝑧 𝑎 3 2 superscript 𝑧 3 3 𝑎 3 2 𝑎 7 2 superscript 𝑧 5 5 ⋯ {\displaystyle{\displaystyle u_{2}(a,z)=e^{\tfrac{1}{4}z^{2}}\left(z+(a-\tfrac% {3}{2})\frac{z^{3}}{3!}+(a-\tfrac{3}{2})(a-\tfrac{7}{2})\frac{z^{5}}{5!}+% \cdots\right).}}
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    DLMF id
    DLMF:12.4.E6
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5acdec
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    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1edec
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    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1edec
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