@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellcdk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E8.m2abdec
@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{nd}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellndk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E6.m3abdec
@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{sd}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellsdk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E7.m2abdec
@@ Property / Symbols used @@
+Q11985
@@ Property / Symbols used: Q11985 / rank @@
+Normal rank
@@ Property / Symbols used: Q11985 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11985 / qualifier @@
+xml-id: C22.S1.XMD3.m1hdec
@@ Property / Symbols used @@
+Q11984
@@ Property / Symbols used: Q11984 / rank @@
+Normal rank
@@ Property / Symbols used: Q11984 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11984 / qualifier @@
+xml-id: C22.S1.XMD4.m1hdec
@@ Property / Symbols used @@
+Q11988
@@ Property / Symbols used: Q11988 / rank @@
+Normal rank
@@ Property / Symbols used: Q11988 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11988 / qualifier @@
+xml-id: C22.S1.XMD5.m1edec

DLMF:22.6.E9 (Q6943): Difference between revisions

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

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

k 𝑘 {\displaystyle{\displaystyle k}}

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

Latest revision as of 14:58, 2 January 2020

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

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

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