DLMF:14.17.E19 (Q4900): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:14.17.E19	No description defined

Statements

Defining formula

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

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DLMF:14.17.E19

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{\displaystyle{\displaystyle\Re(\lambda+\nu)>-1}}

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{\displaystyle{\displaystyle\lambda}}

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{\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}

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Defining formula

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

C1.S4.SS4.m1ardec

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psi (or digamma) function

Defining formula

{\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

C5.S2.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ardec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1addec

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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.m5aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1qdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1ldec

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Sitelinks

Wikipedia(0 entries)

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