@@ Property / Symbols defined @@
+modified Mathieu function
@@ Property / Symbols defined: modified Mathieu function / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle n=0,1,\dots}}$ 
n=0,1,\dots
@@ Property / constraint: ${\displaystyle{\displaystyle n=0,1,\dots}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+second solution, Mathieu’s equation
@@ Property / Symbols used: second solution, Mathieu’s equation / rank @@
+Normal rank
@@ Property / Symbols used: second solution, Mathieu’s equation / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{fe}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}$ 
\Mathieufe{\NVar{n}}@{\NVar{z}}{\NVar{q}}
@@ Property / Symbols used: second solution, Mathieu’s equation / qualifier @@
+xml-id: C28.S5.E1.m2adec
@@ 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.m2acdec
@@ Property / Symbols used @@
+Q12271
@@ Property / Symbols used: Q12271 / rank @@
+Normal rank
@@ Property / Symbols used: Q12271 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle q=h^{2}}}$ 
q=h^{2}
@@ Property / Symbols used: Q12271 / qualifier @@
+xml-id: C28.S1.XMD10.m1edec
@@ Property / Symbols used @@
+Q12279
@@ Property / Symbols used: Q12279 / rank @@
+Normal rank
@@ Property / Symbols used: Q12279 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12279 / qualifier @@
+xml-id: C28.S1.XMD2.m1dec
@@ Property / Symbols used @@
+Q12272
@@ Property / Symbols used: Q12272 / rank @@
+Normal rank
@@ Property / Symbols used: Q12272 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q12272 / qualifier @@
+xml-id: C28.S1.XMD6.m1edec

DLMF:28.20.E6 (Q8338): Difference between revisions

n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}

fe n ⁡ ( z , q ) Mathieu-fe 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{fe}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

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

q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}

n 𝑛 {\displaystyle{\displaystyle n}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 15:00, 2 January 2020

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${\displaystyle{\displaystyle n=0,1,\dots}}$

${\displaystyle{\displaystyle\mathrm{fe}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}$

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

${\displaystyle{\displaystyle q=h^{2}}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle z}}$