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Statements
λ
ν
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h
2
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2
h
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s
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8
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33
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410
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405
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20
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4
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63
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1260
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486
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asymptotic-expansion
Mathieu-eigenvalue-lambda
𝜈
superscript
ℎ
2
2
superscript
ℎ
2
2
𝑠
ℎ
1
8
superscript
𝑠
2
1
1
superscript
2
7
ℎ
superscript
𝑠
3
3
𝑠
1
superscript
2
12
superscript
ℎ
2
5
superscript
𝑠
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34
superscript
𝑠
2
9
1
superscript
2
17
superscript
ℎ
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33
superscript
𝑠
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410
superscript
𝑠
3
405
𝑠
1
superscript
2
20
superscript
ℎ
4
63
superscript
𝑠
6
1260
superscript
𝑠
4
2943
superscript
𝑠
2
486
1
superscript
2
25
superscript
ℎ
5
527
superscript
𝑠
7
15617
superscript
𝑠
5
69001
superscript
𝑠
3
41607
𝑠
⋯
{\displaystyle{\displaystyle\lambda_{\nu}\left(h^{2}\right)\sim-2h^{2}+2sh-%
\dfrac{1}{8}(s^{2}+1)-\dfrac{1}{2^{7}h}(s^{3}+3s)-\dfrac{1}{2^{12}h^{2}}(5s^{4%
}+34s^{2}+9)-\dfrac{1}{2^{17}h^{3}}(33s^{5}+410s^{3}+405s)-\dfrac{1}{2^{20}h^{%
4}}(63s^{6}+1260s^{4}+2943s^{2}+486)-\dfrac{1}{2^{25}h^{5}}(527s^{7}+15617s^{5%
}+69001s^{3}+41607s)+\cdots.}}
λ
ν
+
2
n
(
q
)
Mathieu-eigenvalue-lambda
𝜈
2
𝑛
𝑞
{\displaystyle{\displaystyle\lambda_{\NVar{\nu+2n}}\left(\NVar{q}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
h
ℎ
{\displaystyle{\displaystyle h}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
