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Statements
F
n
+
p
(
z
)
∼
(
-
1
)
n
i
e
-
p
π
i
(
1
2
erfc
(
1
2
ρ
c
(
θ
)
)
-
i
e
i
ρ
(
π
-
θ
)
e
-
ρ
-
z
(
2
π
ρ
)
1
/
2
∑
s
=
0
∞
h
2
s
(
θ
,
α
)
ρ
s
)
.
asymptotic-expansion
terminant-function
𝑛
𝑝
𝑧
superscript
1
𝑛
𝑖
superscript
𝑒
𝑝
𝜋
𝑖
1
2
complementary-error-function
1
2
𝜌
𝑐
𝜃
𝑖
superscript
𝑒
𝑖
𝜌
𝜋
𝜃
superscript
𝑒
𝜌
𝑧
superscript
2
𝜋
𝜌
1
2
superscript
subscript
𝑠
0
subscript
ℎ
2
𝑠
𝜃
𝛼
superscript
𝜌
𝑠
{\displaystyle{\displaystyle F_{n+p}\left(z\right)\sim(-1)^{n}ie^{-p\pi i}%
\left(\tfrac{1}{2}\operatorname{erfc}\left(\sqrt{\tfrac{1}{2}\rho}\,c(\theta)%
\right)-i\frac{e^{i\rho(\pi-\theta)}e^{-\rho-z}}{(2\pi\rho)^{1/2}}\sum_{s=0}^{%
\infty}\frac{h_{2s}(\theta,\alpha)}{\rho^{s}}\right).}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
erfc
z
complementary-error-function
𝑧
{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
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)}}
ρ
𝜌
{\displaystyle{\displaystyle\rho}}
θ
𝜃
{\displaystyle{\displaystyle\theta}}
c
(
θ
)
𝑐
𝜃
{\displaystyle{\displaystyle c(\theta)}}
h
2
s
(
θ
,
α
)
subscript
ℎ
2
𝑠
𝜃
𝛼
{\displaystyle{\displaystyle h_{2s}(\theta,\alpha)}}
Identifiers
