DLMF:7.7.E7 (Q2377): Difference between revisions

Revision as of 23:44, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:7.7.E7	No description defined

{\displaystyle{\displaystyle\int_{x}^{\infty}e^{-a^{2}t^{2}-(b^{2}/t^{2})}% \mathrm{d}t=\frac{\sqrt{\pi}}{4a}\left(e^{2ab}\operatorname{erfc}\left(ax+(b/x% )\right)+e^{-2ab}\operatorname{erfc}\left(ax-(b/x)\right)\right),}}

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DLMF:7.7.E7

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{\displaystyle{\displaystyle|\operatorname{ph}a|<\tfrac{1}{4}\pi}}

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{\displaystyle{\displaystyle x>0}}

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{\displaystyle{\displaystyle|\operatorname{ph}a|<\tfrac{1}{4}\pi}}

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{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

C7.S2.E2.m2acdec

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@@ Property / Symbols used @@
+complementary error function
@@ Property / Symbols used: complementary error function / rank @@
+Normal rank
@@ Property / Symbols used: complementary error function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}$ 
\erfc@@{\NVar{z}}
@@ Property / Symbols used: complementary error function / qualifier @@
+xml-id: C7.S2.E2.m2acdec