@@ 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.m2adec
@@ 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.m2aadec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2adec
@@ 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.m1ddec
@@ 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.m1edec
@@ Property / Symbols used @@
+Q12020
@@ Property / Symbols used: Q12020 / rank @@
+Normal rank
@@ Property / Symbols used: Q12020 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k_{1}}}$ 
k_{1}
@@ Property / Symbols used: Q12020 / qualifier @@
+xml-id: C22.S17.XMD1.m1adec
@@ Property / Symbols used @@
+Q12021
@@ Property / Symbols used: Q12021 / rank @@
+Normal rank
@@ Property / Symbols used: Q12021 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k_{1}^{\prime}}}$ 
k_{1}^{\prime}
@@ Property / Symbols used: Q12021 / qualifier @@
+xml-id: C22.S17.XMD2.m1adec

DLMF:22.17.E6 (Q7161): Difference between revisions

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

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

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

z 𝑧 {\displaystyle{\displaystyle z}}

k 𝑘 {\displaystyle{\displaystyle k}}

k 1 subscript 𝑘 1 {\displaystyle{\displaystyle k_{1}}}

k 1 ′ superscript subscript 𝑘 1 ′ {\displaystyle{\displaystyle k_{1}^{\prime}}}

Latest revision as of 15:38, 2 January 2020

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

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

${\displaystyle{\displaystyle\mathrm{i}}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle k_{1}}}$

${\displaystyle{\displaystyle k_{1}^{\prime}}}$