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2.11.E20 - MaRDI portal
Statements
R
n
(
1
)
(
z
)
=
(
-
1
)
n
-
1
i
e
(
μ
2
-
μ
1
)
π
i
e
λ
2
z
z
μ
2
(
C
1
∑
s
=
0
m
-
1
(
-
1
)
s
a
s
,
2
F
n
+
μ
2
-
μ
1
-
s
(
z
)
z
s
+
R
m
,
n
(
1
)
(
z
)
)
,
superscript
subscript
𝑅
𝑛
1
𝑧
superscript
1
𝑛
1
𝑖
superscript
𝑒
subscript
𝜇
2
subscript
𝜇
1
𝜋
𝑖
superscript
𝑒
subscript
𝜆
2
𝑧
superscript
𝑧
subscript
𝜇
2
subscript
𝐶
1
superscript
subscript
𝑠
0
𝑚
1
superscript
1
𝑠
subscript
𝑎
𝑠
2
terminant-function
𝑛
subscript
𝜇
2
subscript
𝜇
1
𝑠
𝑧
superscript
𝑧
𝑠
superscript
subscript
𝑅
𝑚
𝑛
1
𝑧
{\displaystyle{\displaystyle R_{n}^{(1)}(z)=(-1)^{n-1}ie^{(\mu_{2}-\mu_{1})\pi
i%
}e^{\lambda_{2}z}z^{\mu_{2}}\left(C_{1}\sum_{s=0}^{m-1}(-1)^{s}a_{s,2}\frac{F_%
{n+\mu_{2}-\mu_{1}-s}\left(z\right)}{z^{s}}+R_{m,n}^{(1)}(z)\right),}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
F
p
(
z
)
terminant-function
𝑝
𝑧
{\displaystyle{\displaystyle F_{\NVar{p}}\left(\NVar{z}\right)}}
R
n
(
j
)
(
z
)
superscript
subscript
𝑅
𝑛
𝑗
𝑧
{\displaystyle{\displaystyle R_{n}^{(j)}(z)}}
a
s
,
j
subscript
𝑎
𝑠
𝑗
{\displaystyle{\displaystyle a_{s,j}}}
λ
j
subscript
𝜆
𝑗
{\displaystyle{\displaystyle\lambda_{j}}}
μ
j
subscript
𝜇
𝑗
{\displaystyle{\displaystyle\mu_{j}}}
C
1
subscript
𝐶
1
{\displaystyle{\displaystyle C_{1}}}
Identifiers