DLMF:15.11.E1 (Q5153)

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Language	Label	Description	Also known as
English	DLMF:15.11.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \frac{1-a_{1}-a_{2}}{z-\alpha}+\frac{1-b_{1}-b_{2}}{z-\beta}+\frac{1-c_{1}-c_{% 2}}{z-\gamma}\right)\frac{\mathrm{d}w}{\mathrm{d}z}+{\left(\frac{(\alpha-\beta% )(\alpha-\gamma)a_{1}a_{2}}{z-\alpha}+\frac{(\beta-\alpha)(\beta-\gamma)b_{1}b% _{2}}{z-\beta}+\frac{(\gamma-\alpha)(\gamma-\beta)c_{1}c_{2}}{z-\gamma}\right)% \frac{w}{(z-\alpha)(z-\beta)(z-\gamma)}=0},}}

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DLMF:15.11.E1

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C15.S11.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C15.S11.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C15.S11.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle w}}

C15.S11.XMD4.m1dec

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