DLMF:32.15.E1 (Q9493)

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DLMF:32.15.E1
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    Statements

    test
    ∫ - ∞ ∞ exp ⁡ ( - 1 4 ⁢ ξ 4 - z ⁢ ξ 2 ) ⁢ p m ⁢ ( ξ ) ⁢ p n ⁢ ( ξ ) ⁢ d ξ = δ m , n , superscript subscript 1 4 superscript 𝜉 4 𝑧 superscript 𝜉 2 subscript 𝑝 𝑚 𝜉 subscript 𝑝 𝑛 𝜉 𝜉 Kronecker 𝑚 𝑛 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}\exp\left(-\tfrac{1}{4}\xi^% {4}-z\xi^{2}\right)p_{m}(\xi)p_{n}(\xi)\mathrm{d}\xi=\delta_{m,n},}}
    0 references
    DLMF id
    DLMF:32.15.E1
    0 references
    Symbols used
    Q10768
    test
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5adec
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