DLMF:14.17.E18 (Q4899)

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Language	Label	Description	Also known as
English	DLMF:14.17.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{1}^{\infty}P_{\nu}\left(x\right)Q_{\lambda}% \left(x\right)\mathrm{d}x=\frac{1}{(\lambda-\nu)(\nu+\lambda+1)},}}

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DLMF:14.17.E18

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{\displaystyle{\displaystyle\Re\lambda>\Re\nu>0}}

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Defining formula

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

C1.S4.SS4.m1aqdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aqdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1acdec

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m3adec

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Defining formula

{\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m5adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1pdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1kdec

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