DLMF:36.8#Ex1 (Q10635)

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DLMF:36.8#Ex1
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    Statements

    DLMF defining formula
    Ψ K ⁡ ( 𝐱 ) = 2 K + 2 ⁢ ∑ n = 0 ∞ exp ⁡ ( i ⁢ π ⁢ ( 2 ⁢ n + 1 ) 2 ⁢ ( K + 2 ) ) ⁢ Γ ⁡ ( 2 ⁢ n + 1 K + 2 ) ⁢ a 2 ⁢ n ⁢ ( 𝐱 ) , canonical-integral 𝐾 𝐱 2 𝐾 2 superscript subscript 𝑛 0 𝑖 𝜋 2 𝑛 1 2 𝐾 2 Euler-Gamma 2 𝑛 1 𝐾 2 subscript 𝑎 2 𝑛 𝐱 {\displaystyle{\displaystyle\Psi_{K}\left(\mathbf{x}\right)=\dfrac{2}{K+2}\sum% \limits_{n=0}^{\infty}\exp\left(i\dfrac{\pi(2n+1)}{2(K+2)}\right)\Gamma\left(% \dfrac{2n+1}{K+2}\right)a_{2n}(\mathbf{x}),}}
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    constraint
    K 𝐾 {\displaystyle{\displaystyle K}}
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    Identifiers

     
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