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Statements
e
±
π
i
a
2
i
sin
(
π
a
)
Q
(
-
a
,
a
e
±
π
i
)
∼
±
1
2
-
i
2
π
a
∑
k
=
0
∞
c
k
(
0
)
(
-
a
)
-
k
,
asymptotic-expansion
superscript
𝑒
plus-or-minus
𝜋
𝑖
𝑎
2
𝑖
𝜋
𝑎
incomplete-gamma-Q
𝑎
𝑎
superscript
𝑒
plus-or-minus
𝜋
𝑖
plus-or-minus
1
2
𝑖
2
𝜋
𝑎
superscript
subscript
𝑘
0
subscript
𝑐
𝑘
0
superscript
𝑎
𝑘
{\displaystyle{\displaystyle\frac{e^{\pm\pi ia}}{2i\sin\left(\pi a\right)}Q%
\left(-a,ae^{\pm\pi i}\right)\sim\pm\frac{1}{2}-\frac{i}{\sqrt{2\pi a}}\sum_{k%
=0}^{\infty}c_{k}(0)(-a)^{-k},}}
|
ph
a
|
≤
π
-
δ
phase
𝑎
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}a|\leq\pi-\delta}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
Q
(
a
,
z
)
incomplete-gamma-Q
𝑎
𝑧
{\displaystyle{\displaystyle Q\left(\NVar{a},\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
a
𝑎
{\displaystyle{\displaystyle a}}
k
𝑘
{\displaystyle{\displaystyle k}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
c
k
(
η
)
subscript
𝑐
𝑘
𝜂
{\displaystyle{\displaystyle c_{k}(\eta)}}
Identifiers
