@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellsnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E4.m2adec
@@ Property / Symbols used @@
+Q11600
@@ Property / Symbols used: Q11600 / rank @@
+Normal rank
@@ Property / Symbols used: Q11600 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$ 
\compellintKk@{\NVar{k}}
@@ Property / Symbols used: Q11600 / qualifier @@
+xml-id: C19.S2.E8.m1adec
@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2aadec
@@ Property / Symbols used @@
+Q12034
@@ Property / Symbols used: Q12034 / rank @@
+Normal rank
@@ Property / Symbols used: Q12034 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\theta(t)}}$ 
\theta(t)
@@ Property / Symbols used: Q12034 / qualifier @@
+xml-id: C22.S19.XMD1.m1adec
@@ Property / Symbols used @@
+Q12035
@@ Property / Symbols used: Q12035 / rank @@
+Normal rank
@@ Property / Symbols used: Q12035 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\alpha}}$ 
\alpha
@@ Property / Symbols used: Q12035 / qualifier @@
+xml-id: C22.S19.XMD2.m1dec

DLMF:22.19.E2 (Q7176): Difference between revisions

sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}

K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

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

θ ⁢ ( t ) 𝜃 𝑡 {\displaystyle{\displaystyle\theta(t)}}

α 𝛼 {\displaystyle{\displaystyle\alpha}}

Latest revision as of 15:39, 2 January 2020

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${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

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

${\displaystyle{\displaystyle\theta(t)}}$

${\displaystyle{\displaystyle\alpha}}$