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DLMF:36.8.E5 - MaRDI portal
Statements
f
n
(
ζ
,
ζ
¯
)
=
c
n
(
ζ
)
c
n
(
ζ
¯
)
Ai
(
ζ
)
Bi
(
ζ
¯
)
+
c
n
(
ζ
)
d
n
(
ζ
¯
)
Ai
(
ζ
)
Bi
′
(
ζ
¯
)
+
d
n
(
ζ
)
c
n
(
ζ
¯
)
Ai
′
(
ζ
)
Bi
(
ζ
¯
)
+
d
n
(
ζ
)
d
n
(
ζ
¯
)
Ai
′
(
ζ
)
Bi
′
(
ζ
¯
)
,
subscript
𝑓
𝑛
𝜁
𝜁
subscript
𝑐
𝑛
𝜁
subscript
𝑐
𝑛
𝜁
Airy-Ai
𝜁
Airy-Bi
𝜁
subscript
𝑐
𝑛
𝜁
subscript
𝑑
𝑛
𝜁
Airy-Ai
𝜁
diffop
Airy-Bi
1
𝜁
subscript
𝑑
𝑛
𝜁
subscript
𝑐
𝑛
𝜁
diffop
Airy-Ai
1
𝜁
Airy-Bi
𝜁
subscript
𝑑
𝑛
𝜁
subscript
𝑑
𝑛
𝜁
diffop
Airy-Ai
1
𝜁
diffop
Airy-Bi
1
𝜁
{\displaystyle{\displaystyle f_{n}(\zeta,\overline{\zeta})=c_{n}(\zeta)c_{n}(%
\overline{\zeta})\mathrm{Ai}\left(\zeta\right)\mathrm{Bi}\left(\overline{\zeta%
}\right)+c_{n}(\zeta)d_{n}(\overline{\zeta})\mathrm{Ai}\left(\zeta\right)%
\mathrm{Bi}'\left(\overline{\zeta}\right)+d_{n}(\zeta)c_{n}(\overline{\zeta})%
\mathrm{Ai}'\left(\zeta\right)\mathrm{Bi}\left(\overline{\zeta}\right)+d_{n}(%
\zeta)d_{n}(\overline{\zeta})\mathrm{Ai}'\left(\zeta\right)\mathrm{Bi}'\left(%
\overline{\zeta}\right),}}
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
Bi
(
z
)
Airy-Bi
𝑧
{\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
z
¯
𝑧
{\displaystyle{\displaystyle\overline{\NVar{z}}}}
m
𝑚
{\displaystyle{\displaystyle m}}
c
n
(
t
)
subscript
𝑐
𝑛
𝑡
{\displaystyle{\displaystyle c_{n}(t)}}
d
n
(
t
)
subscript
𝑑
𝑛
𝑡
{\displaystyle{\displaystyle d_{n}(t)}}
Identifiers