DLMF:19.25.E11 (Q6515): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}$ 
\phi\neq\tfrac{1}{2}\pi
+Normal rank
@@ Property / Symbols used @@
+elliptic integral symmetric in only two variables
+Normal rank
+test:  ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRD@{\NVar{x}}{\NVar{y}}{\NVar{z}}
+xml-id: C19.S16.E5.m2addec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2aadec
@@ Property / Symbols used @@
+Legendre’s incomplete elliptic integral of the second kind
+Normal rank
+test:  ${\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}$ 
\incellintEk@{\NVar{\phi}}{\NVar{k}}
+xml-id: C19.S2.E5.m2addec
@@ Property / Symbols used @@
+Q11807
@@ Property / Symbols used: Q11807 / rank @@
+Normal rank
@@ Property / Symbols used: Q11807 / qualifier @@
+test:  ${\displaystyle{\displaystyle\phi}}$ 
\phi
@@ Property / Symbols used: Q11807 / qualifier @@
+xml-id: C19.S1.XMD4.m1fdec
@@ Property / Symbols used @@
+Q11808
@@ Property / Symbols used: Q11808 / rank @@
+Normal rank
@@ Property / Symbols used: Q11808 / qualifier @@
+test:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11808 / qualifier @@
+xml-id: C19.S1.XMD5.m1jdec
@@ Property / Symbols used @@
+Q11815
@@ Property / Symbols used: Q11815 / rank @@
+Normal rank
@@ Property / Symbols used: Q11815 / qualifier @@
+test:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11815 / qualifier @@
+xml-id: C19.S1.XMD6.m1ddec

DLMF:19.25.E11 (Q6515): Difference between revisions

${\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}$

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

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

${\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}$

${\displaystyle{\displaystyle\phi}}$

${\displaystyle{\displaystyle k}}$

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

Latest revision as of 13:06, 2 January 2020

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DLMF:19.25.E11 (Q6515): Difference between revisions

ϕ ≠ 1 2 ⁢ π italic-ϕ 1 2 𝜋 {\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}

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

π {\displaystyle{\displaystyle\pi}}

E ⁡ ( ϕ , k ) elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}

ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}

k 𝑘 {\displaystyle{\displaystyle k}}

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

Latest revision as of 13:06, 2 January 2020

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${\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}$

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

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

${\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}$

${\displaystyle{\displaystyle\phi}}$

${\displaystyle{\displaystyle k}}$

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