DLMF:10.22.E40 (Q3414): Difference between revisions

Revision as of 13:19, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.22.E40	No description defined

{\displaystyle{\displaystyle\int_{x}^{\infty}\frac{Y_{0}\left(t\right)}{t}% \mathrm{d}t=-\frac{1}{\pi}\left(\ln\left(\tfrac{1}{2}x\right)+\gamma\right)^{2% }+\frac{\pi}{6}+\frac{2}{\pi}\sum_{k=1}^{\infty}(-1)^{k}\*\left(\psi\left(k+1% \right)+\frac{1}{2k}-\ln\left(\tfrac{1}{2}x\right)\right)\frac{(\tfrac{1}{2}x)% ^{2k}}{2k(k!)^{2}},}}

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DLMF:10.22.E40

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{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E3.m2acdec

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{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2aadec

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@@ Property / Symbols used @@
+Euler’s constant
@@ Property / Symbols used: Euler’s constant / rank @@
+Normal rank
@@ Property / Symbols used: Euler’s constant / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\gamma}}$ 
\EulerConstant
@@ Property / Symbols used: Euler’s constant / qualifier @@
+xml-id: C5.S2.E3.m2aadec