DLMF:3.4.E21 (Q1225)

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DLMF:3.4.E21
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    ∂ ⁡ u 0 , 0 ∂ ⁡ x = 1 4 ⁢ h ⁢ ( u 1 , 1 - u - 1 , 1 + u 1 , - 1 - u - 1 , - 1 ) + O ⁡ ( h 2 ) . partial-derivative subscript 𝑢 0 0 𝑥 1 4 ℎ 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 u_{0,0}}{\partial x}=\frac{1}{4h}\,% (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.E21
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