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

Revision as of 13:26, 2 January 2020

No description defined

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

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

C1.S4.SS4.m1ardec

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

C5.S2.E2.m2afdec

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{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ardec

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@@ Property / Symbols used @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3ardec