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Statements
S
n
m
(
j
)
(
z
,
γ
)
=
(
1
-
z
-
2
)
1
2
m
A
n
-
m
(
γ
2
)
∑
2
k
≥
m
-
n
a
n
,
k
-
m
(
γ
2
)
ψ
n
+
2
k
(
j
)
(
γ
z
)
.
radial-spheroidal-wave-S
𝑚
𝑗
𝑛
𝑧
𝛾
superscript
1
superscript
𝑧
2
1
2
𝑚
superscript
subscript
𝐴
𝑛
𝑚
superscript
𝛾
2
subscript
2
𝑘
𝑚
𝑛
subscript
superscript
𝑎
𝑚
𝑛
𝑘
superscript
𝛾
2
superscript
subscript
𝜓
𝑛
2
𝑘
𝑗
𝛾
𝑧
{\displaystyle{\displaystyle S^{m(j)}_{n}\left(z,\gamma\right)=\frac{(1-z^{-2}%
)^{\frac{1}{2}m}}{A_{n}^{-m}(\gamma^{2})}\sum_{2k\geq m-n}a^{-m}_{n,k}(\gamma^%
{2})\psi_{n+2k}^{(j)}(\gamma z).}}
z
𝑧
{\displaystyle{\displaystyle z}}
m
𝑚
{\displaystyle{\displaystyle m}}
n
≥
m
𝑛
𝑚
{\displaystyle{\displaystyle n\geq m}}
ψ
k
(
j
)
(
z
)
superscript
subscript
𝜓
𝑘
𝑗
𝑧
{\displaystyle{\displaystyle\psi_{k}^{(j)}(z)}}
A
n
m
(
γ
2
)
superscript
subscript
𝐴
𝑛
𝑚
superscript
𝛾
2
{\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}
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})}}
Identifiers
