DLMF:3.4.E25 (Q1229)

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DLMF:3.4.E25
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    test
    ∂ 2 ⁡ u 0 , 0 ∂ ⁡ x ⁢ ∂ ⁡ y = 1 4 ⁢ h 2 ⁢ ( u 1 , 1 - u 1 , - 1 - u - 1 , 1 + u - 1 , - 1 ) + O ⁡ ( h 2 ) , subscript 𝑢 0 0 2 𝑥 𝑦 1 4 superscript ℎ 2 subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 Big-O superscript ℎ 2 {\displaystyle{\displaystyle\frac{{\partial}^{2}u_{0,0}}{\partial x\partial y}% =\frac{1}{4h^{2}}\,(u_{1,1}-u_{1,-1}-u_{-1,1}+u_{-1,-1})+O\left(h^{2}\right),}}
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    DLMF id
    DLMF:3.4.E25
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