DLMF:3.7#Ex26 (Q1362)

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DLMF:3.7#Ex26
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    k 3 = h f ( z n + 1 2 h , w n + 1 2 h w n + 1 8 h k 2 , w n + 1 2 k 2 ) , subscript 𝑘 3 𝑓 subscript 𝑧 𝑛 1 2 subscript 𝑤 𝑛 1 2 subscript superscript 𝑤 𝑛 1 8 subscript 𝑘 2 subscript superscript 𝑤 𝑛 1 2 subscript 𝑘 2 {\displaystyle{\displaystyle k_{3}=hf(z_{n}+\tfrac{1}{2}h,w_{n}+\tfrac{1}{2}hw% ^{\prime}_{n}+\tfrac{1}{8}hk_{2},w^{\prime}_{n}+\tfrac{1}{2}k_{2}),}}
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