DLMF:13.8#Ex3 (Q4443)

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DLMF:13.8#Ex3
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    f t = ( b ( 1 t - 1 e t - 1 ) - z ( 1 t 2 - e t ( e t - 1 ) 2 ) ) f . partial-derivative 𝑓 𝑡 𝑏 1 𝑡 1 superscript 𝑒 𝑡 1 𝑧 1 superscript 𝑡 2 superscript 𝑒 𝑡 superscript superscript 𝑒 𝑡 1 2 𝑓 {\displaystyle{\displaystyle\frac{\partial f}{\partial t}=\left(b\left(\frac{1% }{t}-\frac{1}{e^{t}-1}\right)-z\left(\frac{1}{t^{2}}-\frac{e^{t}}{\left(e^{t}-% 1\right)^{2}}\right)\right)f.}}
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