DLMF:15.10.E1 (Q5114)

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DLMF:15.10.E1
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    z ( 1 - z ) d 2 w d z 2 + ( c - ( a + b + 1 ) z ) d w d z - a b w = 0 . 𝑧 1 𝑧 derivative 𝑤 𝑧 2 𝑐 𝑎 𝑏 1 𝑧 derivative 𝑤 𝑧 𝑎 𝑏 𝑤 0 {\displaystyle{\displaystyle z(1-z)\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}% +\left(c-(a+b+1)z\right)\frac{\mathrm{d}w}{\mathrm{d}z}-abw=0.}}
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