@@ Property / Symbols used @@
+Lamé polynomial
@@ Property / Symbols used: Lamé polynomial / rank @@
+Normal rank
@@ Property / Symbols used: Lamé polynomial / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathit{scdE}^{\NVar{m}}_{2\NVar{n}+3}\left(\NVar{% z},\NVar{k^{2}}\right)}}$ 
\LamepolyscdE{\NVar{m}}{2\NVar{n}+3}@{\NVar{z}}{\NVar{k^{2}}}
@@ Property / Symbols used: Lamé polynomial / qualifier @@
+xml-id: C29.S12.E8.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.m1aidec
@@ 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.m2ahdec
@@ Property / Symbols used @@
+Q12357
@@ Property / Symbols used: Q12357 / rank @@
+Normal rank
@@ Property / Symbols used: Q12357 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12357 / qualifier @@
+xml-id: C29.S1.XMD1.m1gdec
@@ Property / Symbols used @@
+Q12367
@@ Property / Symbols used: Q12367 / rank @@
+Normal rank
@@ Property / Symbols used: Q12367 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12367 / qualifier @@
+xml-id: C29.S1.XMD2.m1gdec
@@ 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.m1idec

DLMF:29.14.E10 (Q8744): Difference between revisions

𝑠𝑐𝑑𝐸 2 ⁢ n + 3 m ⁡ ( z , k 2 ) Lame-polynomial-scdE 𝑚 2 𝑛 3 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{scdE}^{\NVar{m}}_{2\NVar{n}+3}\left(\NVar{% z},\NVar{k^{2}}\right)}}

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

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

m 𝑚 {\displaystyle{\displaystyle m}}

n 𝑛 {\displaystyle{\displaystyle n}}

k 𝑘 {\displaystyle{\displaystyle k}}

Latest revision as of 01:29, 2 January 2020

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${\displaystyle{\displaystyle\mathit{scdE}^{\NVar{m}}_{2\NVar{n}+3}\left(\NVar{% z},\NVar{k^{2}}\right)}}$

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

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

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle k}}$