DLMF:13.6.E16 (Q4403)

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DLMF:13.6.E16
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    Statements

    Defining formula
    M ⁡ ( - n , 1 2 , z 2 ) = ( - 1 ) n ⁢ n ! ( 2 ⁢ n ) ! ⁢ H 2 ⁢ n ⁡ ( z ) , Kummer-confluent-hypergeometric-M 𝑛 1 2 superscript 𝑧 2 superscript 1 𝑛 𝑛 2 𝑛 Hermite-polynomial-H 2 𝑛 𝑧 {\displaystyle{\displaystyle M\left(-n,\tfrac{1}{2},z^{2}\right)=(-1)^{n}\frac% {n!}{(2n)!}H_{2n}\left(z\right),}}
    0 references
    DLMF id
    DLMF:13.6.E16
    0 references
    Symbols used
    Q10922
    Defining formula
    H n ⁡ ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r13.m2adec
    0 references
     
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