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Statements
ker
x
ker
′
x
+
kei
x
kei
′
x
∼
-
π
2
x
e
-
x
2
(
1
2
+
3
8
1
x
-
15
64
2
1
x
2
+
45
512
1
x
3
+
315
8192
2
1
x
4
+
⋯
)
,
asymptotic-expansion
Kelvin-ker
𝑥
diffop
Kelvin-ker
1
𝑥
Kelvin-kei
𝑥
diffop
Kelvin-kei
1
𝑥
𝜋
2
𝑥
superscript
𝑒
𝑥
2
1
2
3
8
1
𝑥
15
64
2
1
superscript
𝑥
2
45
512
1
superscript
𝑥
3
315
8192
2
1
superscript
𝑥
4
⋯
{\displaystyle{\displaystyle\operatorname{ker}x\operatorname{ker}'x+%
\operatorname{kei}x\operatorname{kei}'x\sim-\frac{\pi}{2x}e^{-x\sqrt{2}}\left(%
\frac{1}{\sqrt{2}}+\frac{3}{8}\frac{1}{x}-\frac{15}{64\sqrt{2}}\frac{1}{x^{2}}%
+\frac{45}{512}\frac{1}{x^{3}}+\frac{315}{8192\sqrt{2}}\frac{1}{x^{4}}+\cdots%
\right),}}
kei
ν
(
x
)
Kelvin-kei
𝜈
𝑥
{\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}%
\right)}}
ker
ν
(
x
)
Kelvin-ker
𝜈
𝑥
{\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}%
\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
