@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellcnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E5.m2addec
@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobielldnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E6.m2addec
@@ 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.m2addec
@@ Property / Symbols used @@
+Q11994
@@ Property / Symbols used: Q11994 / rank @@
+Normal rank
@@ Property / Symbols used: Q11994 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle u}}$ 
u
@@ Property / Symbols used: Q11994 / qualifier @@
+xml-id: C22.S8.XMD4.m1adec
@@ Property / Symbols used @@
+Q11995
@@ Property / Symbols used: Q11995 / rank @@
+Normal rank
@@ Property / Symbols used: Q11995 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle v}}$ 
v
@@ Property / Symbols used: Q11995 / qualifier @@
+xml-id: C22.S8.XMD5.m1adec
@@ Property / Symbols used @@
+Q11996
@@ Property / Symbols used: Q11996 / rank @@
+Normal rank
@@ Property / Symbols used: Q11996 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11996 / qualifier @@
+xml-id: C22.S8.XMD6.m1adec

DLMF:22.8.E14 (Q6979): Difference between revisions

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

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

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

u 𝑢 {\displaystyle{\displaystyle u}}

v 𝑣 {\displaystyle{\displaystyle v}}

k 𝑘 {\displaystyle{\displaystyle k}}

Latest revision as of 15:04, 2 January 2020

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

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

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

${\displaystyle{\displaystyle u}}$

${\displaystyle{\displaystyle v}}$

${\displaystyle{\displaystyle k}}$