DLMF:19.24.E12 (Q6495): Difference between revisions

Latest revision as of 14:04, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.24.E12	No description defined

{\displaystyle{\displaystyle\tfrac{1}{3}(\sqrt{x}+\sqrt{y}+\sqrt{z})\leq R_{G}% \left(x,y,z\right)\leq\min\left(\sqrt{\frac{x+y+z}{3}},\frac{x^{2}+y^{2}+z^{2}% }{3\sqrt{xyz}}\right).}}

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DLMF:19.24.E12

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{\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E3.m2aedec

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@@ Property / Symbols used @@
+symmetric elliptic integral of second kind
@@ Property / Symbols used: symmetric elliptic integral of second kind / rank @@
+Normal rank
@@ Property / Symbols used: symmetric elliptic integral of second kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRG@{\NVar{x}}{\NVar{y}}{\NVar{z}}
@@ Property / Symbols used: symmetric elliptic integral of second kind / qualifier @@
+xml-id: C19.S16.E3.m2aedec