@@ Property / constraint @@
+ ${\displaystyle{\displaystyle 1<\alpha^{2}<\infty}}$ 
1<\alpha^{2}<\infty
+Normal rank
@@ 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.m7addec
@@ 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.m2addec
@@ Property / Symbols used @@
+Q11816
@@ Property / Symbols used: Q11816 / rank @@
+Normal rank
@@ Property / Symbols used: Q11816 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Pi\left(\NVar{\alpha}^{2},\NVar{k}\right)}}$ 
\compellintPik@{\NVar{\alpha}^{2}}{\NVar{k}}
@@ Property / Symbols used: Q11816 / qualifier @@
+xml-id: C19.S2.E8.m4aadec
@@ 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.m1fdec
@@ Property / Symbols used @@
+Q11808
@@ Property / Symbols used: Q11808 / rank @@
+Normal rank
@@ Property / Symbols used: Q11808 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11808 / qualifier @@
+xml-id: C19.S1.XMD5.m1cdec
@@ Property / Symbols used @@
+Q11815
@@ Property / Symbols used: Q11815 / rank @@
+Normal rank
@@ Property / Symbols used: Q11815 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11815 / qualifier @@
+xml-id: C19.S1.XMD6.m1cdec
@@ Property / Symbols used @@
+Q11809
@@ Property / Symbols used: Q11809 / rank @@
+Normal rank
@@ Property / Symbols used: Q11809 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\alpha^{2}}}$ 
\alpha^{2}
@@ Property / Symbols used: Q11809 / qualifier @@
+xml-id: C19.S1.XMD7.m1adec
@@ Property / Symbols used @@
+Q11827
@@ Property / Symbols used: Q11827 / rank @@
+Normal rank
@@ Property / Symbols used: Q11827 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{n}}}$ 
Q_{n}
@@ Property / Symbols used: Q11827 / qualifier @@
+xml-id: C19.S8.XMD3.m1bdec

DLMF:19.8.E9 (Q6217): Difference between revisions

1 < α 2 < ∞ 1 superscript 𝛼 2 {\displaystyle{\displaystyle 1<\alpha^{2}<\infty}}

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

π {\displaystyle{\displaystyle\pi}}

Π ⁡ ( α 2 , k ) complete-elliptic-integral-third-kind-Pi superscript 𝛼 2 𝑘 {\displaystyle{\displaystyle\Pi\left(\NVar{\alpha}^{2},\NVar{k}\right)}}

n 𝑛 {\displaystyle{\displaystyle n}}

k 𝑘 {\displaystyle{\displaystyle k}}

k ′ superscript 𝑘 ′ {\displaystyle{\displaystyle k^{\prime}}}

α 2 superscript 𝛼 2 {\displaystyle{\displaystyle\alpha^{2}}}

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

Latest revision as of 13:43, 2 January 2020

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${\displaystyle{\displaystyle 1<\alpha^{2}<\infty}}$

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

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

${\displaystyle{\displaystyle\Pi\left(\NVar{\alpha}^{2},\NVar{k}\right)}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle k^{\prime}}}$

${\displaystyle{\displaystyle\alpha^{2}}}$

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