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DLMF:32.4.E6
(Q9917)
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English
DLMF:32.4.E6
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Statements
DLMF defining formula
𝐀
(
z
,
λ
)
=
-
i
(
4
λ
2
+
2
w
2
+
z
)
[
1
0
0
-
1
]
-
2
w
′
[
0
-
i
i
0
]
+
(
4
λ
w
-
α
λ
)
[
0
1
1
0
]
,
𝐀
𝑧
𝜆
𝑖
4
superscript
𝜆
2
2
superscript
𝑤
2
𝑧
1
0
0
1
2
superscript
𝑤
′
0
𝑖
𝑖
0
4
𝜆
𝑤
𝛼
𝜆
0
1
1
0
{\displaystyle{\displaystyle\mathbf{A}(z,\lambda)=-i(4\lambda^{2}+2w^{2}+z)% \begin{bmatrix}1&0\\ 0&-1\end{bmatrix}-2w^{\prime}\begin{bmatrix}0&-i\\ i&0\end{bmatrix}+\left(4\lambda w-\frac{\alpha}{\lambda}\right)\begin{bmatrix}% 0&1\\ 1&0\end{bmatrix},}}
0 references
comment
Warning: Falling back to standard tex;
0 references
Symbols used
imaginary unit
DLMF defining formula
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
xml-id
C1.S9.E1.m2abdec
0 references
Q10751
DLMF defining formula
(
a
,
b
)
𝑎
𝑏
{\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
xml-id
introduction.Sx4.p1.t1.r29.m6abdec
0 references
real
DLMF defining formula
z
𝑧
{\displaystyle{\displaystyle z}}
xml-id
C32.S1.XMD4.m1edec
0 references
arbitrary constant
DLMF defining formula
α
𝛼
{\displaystyle{\displaystyle\alpha}}
xml-id
C32.S2.XMD1.m1dec
0 references
instance of
Digital Library of Mathematical Functions Formula
0 references
MaRDI profile type
MaRDI formula profile
0 references
Identifiers
Digital Library of Mathematical Functions ID
32.4.E6
0 references
Sitelinks
Mathematics
(1 entry)
mardi
Formula:9917
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