@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{nc}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellnck@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E5.m3abdec
@@ 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.m2atdec
@@ 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.m1tdec
@@ 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.m1tdec
@@ Property / Symbols used @@
+Q11988
@@ Property / Symbols used: Q11988 / rank @@
+Normal rank
@@ Property / Symbols used: Q11988 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11988 / qualifier @@
+xml-id: C22.S1.XMD5.m1mdec

DLMF:22.13.E20 (Q7071): Difference between revisions

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

k 𝑘 {\displaystyle{\displaystyle k}}

k ′ superscript 𝑘 ′ {\displaystyle{\displaystyle k^{\prime}}}

Latest revision as of 15:21, 2 January 2020

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle k^{\prime}}}$