DLMF:19.25.E9 (Q6513): Difference between revisions

@@ 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.m2abdec
@@ Property / Symbols used @@
+symmetric elliptic integral of first kind
@@ Property / Symbols used: symmetric elliptic integral of first kind / rank @@
+Normal rank
@@ Property / Symbols used: symmetric elliptic integral of first kind / qualifier @@
+test:  ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRF@{\NVar{x}}{\NVar{y}}{\NVar{z}}
@@ Property / Symbols used: symmetric elliptic integral of first kind / qualifier @@
+xml-id: C19.S16.E1.m2acdec
@@ 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.m2abdec
@@ 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.m1ddec
@@ 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.m1hdec

DLMF:19.25.E9 (Q6513): Difference between revisions

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

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

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

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

${\displaystyle{\displaystyle k}}$

Latest revision as of 13:05, 2 January 2020

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DLMF:19.25.E9 (Q6513): 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)}}

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

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}}

Latest revision as of 13:05, 2 January 2020

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

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

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

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

${\displaystyle{\displaystyle k}}$