DLMF:22.9.E1 (Q6993): Difference between revisions

@@ 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 @@
+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.m1dec
@@ 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.m1dec
@@ Property / Symbols used @@
+Q11997
@@ Property / Symbols used: Q11997 / rank @@
+Normal rank
@@ Property / Symbols used: Q11997 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11997 / qualifier @@
+xml-id: C22.S9.XMD1.m1dec
@@ Property / Symbols used @@
+Q11998
@@ Property / Symbols used: Q11998 / rank @@
+Normal rank
@@ Property / Symbols used: Q11998 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle p}}$ 
p
@@ Property / Symbols used: Q11998 / qualifier @@
+xml-id: C22.S9.XMD2.m1dec
@@ Property / Symbols used @@
+Q11999
@@ Property / Symbols used: Q11999 / rank @@
+Normal rank
@@ Property / Symbols used: Q11999 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s_{m,p}^{(r)}}}$ 
s_{m,p}^{(r)}
@@ Property / Symbols used: Q11999 / qualifier @@
+xml-id: C22.S9.XMD3.m1dec

DLMF:22.9.E1 (Q6993): Difference between revisions

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle p}}$

${\displaystyle{\displaystyle s_{m,p}^{(r)}}}$

Latest revision as of 15:06, 2 January 2020

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DLMF:22.9.E1 (Q6993): 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)}}

z 𝑧 {\displaystyle{\displaystyle z}}

k 𝑘 {\displaystyle{\displaystyle k}}

m 𝑚 {\displaystyle{\displaystyle m}}

p 𝑝 {\displaystyle{\displaystyle p}}

s m , p ( r ) superscript subscript 𝑠 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle s_{m,p}^{(r)}}}

Latest revision as of 15:06, 2 January 2020

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle p}}$

${\displaystyle{\displaystyle s_{m,p}^{(r)}}}$