DLMF:12.4.E3 (Q4111)

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DLMF:12.4.E3
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    Statements

    Defining formula
    u 1 ⁢ ( a , z ) = e - 1 4 ⁢ z 2 ⁢ ( 1 + ( a + 1 2 ) ⁢ z 2 2 ! + ( a + 1 2 ) ⁢ ( a + 5 2 ) ⁢ z 4 4 ! + ⋯ ) , subscript 𝑢 1 𝑎 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 1 𝑎 1 2 superscript 𝑧 2 2 𝑎 1 2 𝑎 5 2 superscript 𝑧 4 4 ⋯ {\displaystyle{\displaystyle u_{1}(a,z)=e^{-\tfrac{1}{4}z^{2}}\left(1+(a+% \tfrac{1}{2})\frac{z^{2}}{2!}+(a+\tfrac{1}{2})(a+\tfrac{5}{2})\frac{z^{4}}{4!}% +\cdots\right),}}
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    DLMF:12.4.E3
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    Warning: Falling back to standard tex;
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