@@ 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.m1addec
@@ Property / Symbols used @@
+Q12008
@@ Property / Symbols used: Q12008 / rank @@
+Normal rank
@@ Property / Symbols used: Q12008 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arccn}\left(\NVar{x},\NVar{k}\right)}}$ 
\aJacobiellcnk@{\NVar{x}}{\NVar{k}}
@@ Property / Symbols used: Q12008 / qualifier @@
+xml-id: C22.S15.SS1.p1.m2abdec
@@ Property / Symbols used @@
+Q12003
@@ Property / Symbols used: Q12003 / rank @@
+Normal rank
@@ Property / Symbols used: Q12003 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q12003 / qualifier @@
+xml-id: C22.S1.XMD1.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 @@
+Q12005
@@ Property / Symbols used: Q12005 / rank @@
+Normal rank
@@ Property / Symbols used: Q12005 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\eta}}$ 
\eta
@@ Property / Symbols used: Q12005 / qualifier @@
+xml-id: C22.S15.XMD2.m1bdec
@@ Property / Symbols used @@
+Q12010
@@ Property / Symbols used: Q12010 / rank @@
+Normal rank
@@ Property / Symbols used: Q12010 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12010 / qualifier @@
+xml-id: C22.S15.XMD4.m1adec

DLMF:22.15.E9 (Q7104): Difference between revisions

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

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

x 𝑥 {\displaystyle{\displaystyle x}}

k 𝑘 {\displaystyle{\displaystyle k}}

η 𝜂 {\displaystyle{\displaystyle\eta}}

m 𝑚 {\displaystyle{\displaystyle m}}

Latest revision as of 15:27, 2 January 2020

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

${\displaystyle{\displaystyle\operatorname{arccn}\left(\NVar{x},\NVar{k}\right)}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle\eta}}$

${\displaystyle{\displaystyle m}}$