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Statements
λ
n
m
(
γ
2
)
-
B
k
A
k
a
n
,
k
m
(
γ
2
)
a
n
,
k
-
1
m
(
γ
2
)
=
1
+
O
(
1
k
4
)
.
spheroidal-eigenvalue-lambda
𝑚
𝑛
superscript
𝛾
2
subscript
𝐵
𝑘
subscript
𝐴
𝑘
subscript
superscript
𝑎
𝑚
𝑛
𝑘
superscript
𝛾
2
subscript
superscript
𝑎
𝑚
𝑛
𝑘
1
superscript
𝛾
2
1
Big-O
1
superscript
𝑘
4
{\displaystyle{\displaystyle\frac{\lambda^{m}_{n}\left(\gamma^{2}\right)-B_{k}%
}{A_{k}}\frac{a^{m}_{n,k}(\gamma^{2})}{a^{m}_{n,k-1}(\gamma^{2})}=1+O\left(%
\frac{1}{k^{4}}\right).}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
λ
n
m
(
γ
2
)
spheroidal-eigenvalue-lambda
𝑚
𝑛
superscript
𝛾
2
{\displaystyle{\displaystyle\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2%
}}\right)}}
m
𝑚
{\displaystyle{\displaystyle m}}
n
≥
m
𝑛
𝑚
{\displaystyle{\displaystyle n\geq m}}
γ
2
superscript
𝛾
2
{\displaystyle{\displaystyle\gamma^{2}}}
a
n
,
k
m
(
γ
2
)
subscript
superscript
𝑎
𝑚
𝑛
𝑘
superscript
𝛾
2
{\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}
A
k
subscript
𝐴
𝑘
{\displaystyle{\displaystyle A_{k}}}
B
k
subscript
𝐵
𝑘
{\displaystyle{\displaystyle B_{k}}}
Identifiers
