DLMF:19.6.E8 (Q6158): Difference between revisions

@@ Property / Symbols used @@
+Carlson’s combination of inverse circular and inverse hyperbolic functions
+Normal rank
+test:  ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$ 
\CarlsonellintRC@{\NVar{x}}{\NVar{y}}
+xml-id: C19.S2.E17.m2adec
@@ Property / Symbols used @@
+cosine function
@@ Property / Symbols used: cosine function / rank @@
+Normal rank
@@ Property / Symbols used: cosine function / qualifier @@
+test:  ${\displaystyle{\displaystyle\cos\NVar{z}}}$ 
\cos@@{\NVar{z}}
@@ Property / Symbols used: cosine function / qualifier @@
+xml-id: C4.S14.E2.m2adec
@@ Property / Symbols used @@
+Legendre’s incomplete elliptic integral of the first kind
+Normal rank
+test:  ${\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}$ 
\incellintFk@{\NVar{\phi}}{\NVar{k}}
+xml-id: C19.S2.E4.m2aadec
@@ Property / Symbols used @@
+inverse Gudermannian function
@@ Property / Symbols used: inverse Gudermannian function / rank @@
+Normal rank
@@ Property / Symbols used: inverse Gudermannian function / qualifier @@
+test:  ${\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}$ 
\aGudermannian@{\NVar{x}}
@@ Property / Symbols used: inverse Gudermannian function / qualifier @@
+xml-id: C4.S23.E41.m2adec
@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+test:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2adec
@@ 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.m1adec

DLMF:19.6.E8 (Q6158): Difference between revisions

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

${\displaystyle{\displaystyle\cos\NVar{z}}}$

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

${\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\sin\NVar{z}}}$

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

Latest revision as of 12:41, 2 January 2020

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DLMF:19.6.E8 (Q6158): Difference between revisions

R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

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

gd - 1 ⁡ ( x ) inverse-Gudermannian 𝑥 {\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

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

Latest revision as of 12:41, 2 January 2020

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

${\displaystyle{\displaystyle\cos\NVar{z}}}$

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

${\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\sin\NVar{z}}}$

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