@@ 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 @@
+derivative of $$f$$  with respect to  $$x$$
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank @@
+Normal rank
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$ 
\deriv{\NVar{f}}{\NVar{x}}
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+xml-id: C1.S4.E4.m2aadec
@@ Property / Symbols used @@
+Q12349
@@ Property / Symbols used: Q12349 / rank @@
+Normal rank
@@ Property / Symbols used: Q12349 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle h}}$ 
h
@@ Property / Symbols used: Q12349 / qualifier @@
+xml-id: C29.S1.XMD7.m1dec
@@ Property / Symbols used @@
+Q12350
@@ Property / Symbols used: Q12350 / rank @@
+Normal rank
@@ Property / Symbols used: Q12350 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12350 / qualifier @@
+xml-id: C29.S1.XMD8.m1bdec
@@ Property / Symbols used @@
+Q12351
@@ Property / Symbols used: Q12351 / rank @@
+Normal rank
@@ Property / Symbols used: Q12351 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q12351 / qualifier @@
+xml-id: C29.S1.XMD9.m1adec
@@ Property / Symbols used @@
+Q12395
@@ Property / Symbols used: Q12395 / rank @@
+Normal rank
@@ Property / Symbols used: Q12395 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\beta}}$ 
\beta
@@ Property / Symbols used: Q12395 / qualifier @@
+xml-id: C29.S18.XMD4.m1cdec
@@ Property / Symbols used @@
+Q12397
@@ Property / Symbols used: Q12397 / rank @@
+Normal rank
@@ Property / Symbols used: Q12397 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle u_{j}}}$ 
u_{j}
@@ Property / Symbols used: Q12397 / qualifier @@
+xml-id: C29.S18.XMD6.m1bdec

DLMF:29.18.E6 (Q8807): Difference between revisions

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

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

h ℎ {\displaystyle{\displaystyle h}}

k 𝑘 {\displaystyle{\displaystyle k}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

β 𝛽 {\displaystyle{\displaystyle\beta}}

u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}

Latest revision as of 01:39, 2 January 2020

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

${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$

${\displaystyle{\displaystyle h}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle\nu}}$

${\displaystyle{\displaystyle\beta}}$

${\displaystyle{\displaystyle u_{j}}}$