Formula:9851

Digital Library of Mathematical Functions ID 32.2.E6

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \deriv[2]{w}{z}=\frac{1}{2}\left(\frac{1}{w}+\frac{1}{w-1}+\frac{1}{w-z}\right)\left(\deriv{w}{z}\right)^{2}-\left(\frac{1}{z}+\frac{1}{z-1}+\frac{1}{w-z}\right)\deriv{w}{z}+\frac{w(w-1)(w-z)}{z^{2}(z-1)^{2}}\left(\alpha+\frac{\beta z}{w^{2}}+\frac{\gamma(z-1)}{(w-1)^{2}}+\frac{\delta z(z-1)}{(w-z)^{2}}\right),}

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: real
• ${\displaystyle{\displaystyle\alpha}}$: arbitrary constant
• ${\displaystyle{\displaystyle\beta}}$: arbitrary constant
• ${\displaystyle{\displaystyle\gamma}}$: arbitrary constant
• ${\displaystyle{\displaystyle\delta}}$: arbitrary constant
 

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