DLMF:36.10.E2 (Q10656)

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DLMF:36.10.E2
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    K + 1 Ψ K ( 𝐱 ) x 1 K + 1 + m = 1 K ( - i ) m - K - 2 ( m x m K + 2 ) m - 1 Ψ K ( 𝐱 ) x 1 m - 1 = 0 . partial-derivative canonical-integral 𝐾 𝐱 subscript 𝑥 1 𝐾 1 superscript subscript 𝑚 1 𝐾 superscript 𝑖 𝑚 𝐾 2 𝑚 subscript 𝑥 𝑚 𝐾 2 partial-derivative canonical-integral 𝐾 𝐱 subscript 𝑥 1 𝑚 1 0 {\displaystyle{\displaystyle\frac{{\partial}^{K+1}\Psi_{K}\left(\mathbf{x}% \right)}{{\partial x_{1}}^{K+1}}+\sum_{m=1}^{K}(-i)^{m-K-2}\left(\frac{mx_{m}}% {K+2}\right)\frac{{\partial}^{m-1}\Psi_{K}\left(\mathbf{x}\right)}{{\partial x% _{1}}^{m-1}}=0.}}
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