DLMF:32.2.E4 (Q9157)

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DLMF:32.2.E4
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    Defining formula
    d 2 w d z 2 = 1 2 ⁢ w ⁢ ( d w d z ) 2 + 3 2 ⁢ w 3 + 4 ⁢ z ⁢ w 2 + 2 ⁢ ( z 2 - α ) ⁢ w + β w , derivative 𝑤 𝑧 2 1 2 𝑤 superscript derivative 𝑤 𝑧 2 3 2 superscript 𝑤 3 4 𝑧 superscript 𝑤 2 2 superscript 𝑧 2 𝛼 𝑤 𝛽 𝑤 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}=\frac{% 1}{2w}\left(\frac{\mathrm{d}w}{\mathrm{d}z}\right)^{2}+\frac{3}{2}w^{3}+4zw^{2% }+2(z^{2}-\alpha)w+\frac{\beta}{w},}}
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    DLMF id
    DLMF:32.2.E4
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