@@ Property / Symbols used @@
+elliptic integral symmetric in only two variables
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRD@{\NVar{x}}{\NVar{y}}{\NVar{z}}
+xml-id: C19.S16.E5.m2aadec
@@ Property / Symbols used @@
+Q11826
@@ Property / Symbols used: Q11826 / rank @@
+Normal rank
@@ Property / Symbols used: Q11826 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$ 
\AGM@{\NVar{a}}{\NVar{g}}
@@ Property / Symbols used: Q11826 / qualifier @@
+xml-id: C19.S8.SS1.p1.m7abdec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2acdec
@@ Property / Symbols used @@
+Q11820
@@ Property / Symbols used: Q11820 / rank @@
+Normal rank
@@ Property / Symbols used: Q11820 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11820 / qualifier @@
+xml-id: C19.S1.XMD3.m1adec
@@ Property / Symbols used @@
+Q11865
@@ Property / Symbols used: Q11865 / rank @@
+Normal rank
@@ Property / Symbols used: Q11865 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{n}}}$ 
Q_{n}
@@ Property / Symbols used: Q11865 / qualifier @@
+xml-id: C19.S22.XMD1.m1dec
@@ Property / Symbols used @@
+Q11824
@@ Property / Symbols used: Q11824 / rank @@
+Normal rank
@@ Property / Symbols used: Q11824 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a_{n}}}$ 
a_{n}
@@ Property / Symbols used: Q11824 / qualifier @@
+xml-id: C19.S8.XMD1.m1bdec
@@ Property / Symbols used @@
+Q11825
@@ Property / Symbols used: Q11825 / rank @@
+Normal rank
@@ Property / Symbols used: Q11825 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle g_{n}}}$ 
g_{n}
@@ Property / Symbols used: Q11825 / qualifier @@
+xml-id: C19.S8.XMD2.m1bdec

DLMF:19.22.E10 (Q6448): Difference between revisions

R D ⁡ ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

M ⁡ ( a , g ) arithmetic-geometric-mean 𝑎 𝑔 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}

π {\displaystyle{\displaystyle\pi}}

n 𝑛 {\displaystyle{\displaystyle n}}

Q n subscript 𝑄 𝑛 {\displaystyle{\displaystyle Q_{n}}}

a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}

g n subscript 𝑔 𝑛 {\displaystyle{\displaystyle g_{n}}}

Latest revision as of 14:00, 2 January 2020

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

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle Q_{n}}}$

${\displaystyle{\displaystyle a_{n}}}$

${\displaystyle{\displaystyle g_{n}}}$