DLMF:32.2.E6 (Q9159): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:32.2.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}=\frac{% 1}{2}\left(\frac{1}{w}+\frac{1}{w-1}+\frac{1}{w-z}\right)\left(\frac{\mathrm{d% }w}{\mathrm{d}z}\right)^{2}-\left(\frac{1}{z}+\frac{1}{z-1}+\frac{1}{w-z}% \right)\frac{\mathrm{d}w}{\mathrm{d}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),}}

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DLMF:32.2.E6

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C32.S1.XMD4.m1edec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C32.S2.XMD1.m1ddec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C32.S2.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C32.S2.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C32.S2.XMD4.m1bdec

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