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Statements
a
m
(
q
)
b
m
(
q
)
}
=
m
2
+
1
2
(
m
2
-
1
)
q
2
+
5
m
2
+
7
32
(
m
2
-
1
)
3
(
m
2
-
4
)
q
4
+
9
m
4
+
58
m
2
+
29
64
(
m
2
-
1
)
5
(
m
2
-
4
)
(
m
2
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9
)
q
6
+
⋯
.
selection
Mathieu-eigenvalue-a
𝑚
𝑞
Mathieu-eigenvalue-b
𝑚
𝑞
superscript
𝑚
2
1
2
superscript
𝑚
2
1
superscript
𝑞
2
5
superscript
𝑚
2
7
32
superscript
superscript
𝑚
2
1
3
superscript
𝑚
2
4
superscript
𝑞
4
9
superscript
𝑚
4
58
superscript
𝑚
2
29
64
superscript
superscript
𝑚
2
1
5
superscript
𝑚
2
4
superscript
𝑚
2
9
superscript
𝑞
6
⋯
{\displaystyle{\displaystyle\rselection{a_{m}\left(q\right)\\
b_{m}\left(q\right)}=m^{2}+\frac{1}{2(m^{2}-1)}q^{2}+\frac{5m^{2}+7}{32(m^{2}-%
1)^{3}(m^{2}-4)}q^{4}+\frac{9m^{4}+58m^{2}+29}{64(m^{2}-1)^{5}(m^{2}-4)(m^{2}-%
9)}q^{6}+\cdots.}}
a
n
(
q
)
Mathieu-eigenvalue-a
𝑛
𝑞
{\displaystyle{\displaystyle a_{\NVar{n}}\left(\NVar{q}\right)}}
b
n
(
q
)
Mathieu-eigenvalue-b
𝑛
𝑞
{\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}
m
𝑚
{\displaystyle{\displaystyle m}}
q
=
h
2
𝑞
superscript
ℎ
2
{\displaystyle{\displaystyle q=h^{2}}}
Identifiers
