DLMF:3.8.E12 (Q1380)

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DLMF:3.8.E12
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    z n + 1 = z n - f ( z n ) f ( z n ) - ( f ′′ ( z n ) f ( z n ) / ( 2 f ( z n ) ) ) . subscript 𝑧 𝑛 1 subscript 𝑧 𝑛 𝑓 subscript 𝑧 𝑛 superscript 𝑓 subscript 𝑧 𝑛 superscript 𝑓 ′′ subscript 𝑧 𝑛 𝑓 subscript 𝑧 𝑛 2 superscript 𝑓 subscript 𝑧 𝑛 {\displaystyle{\displaystyle z_{n+1}=z_{n}-\frac{f(z_{n})}{f^{\prime}(z_{n})-(% f^{\prime\prime}(z_{n})f(z_{n})/(2f^{\prime}(z_{n})))}.}}
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