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Statements
w
±
(
𝐦
;
λ
;
z
)
=
Ψ
g
,
N
(
λ
,
z
)
exp
(
±
i
ν
(
λ
)
2
∫
z
0
z
t
m
1
(
t
-
1
)
m
2
(
t
-
a
)
m
3
d
t
Ψ
g
,
N
(
λ
,
t
)
t
(
t
-
1
)
(
t
-
a
)
)
subscript
𝑤
plus-or-minus
𝐦
𝜆
𝑧
subscript
Ψ
𝑔
𝑁
𝜆
𝑧
plus-or-minus
𝑖
𝜈
𝜆
2
superscript
subscript
subscript
𝑧
0
𝑧
superscript
𝑡
subscript
𝑚
1
superscript
𝑡
1
subscript
𝑚
2
superscript
𝑡
𝑎
subscript
𝑚
3
𝑡
subscript
Ψ
𝑔
𝑁
𝜆
𝑡
𝑡
𝑡
1
𝑡
𝑎
{\displaystyle{\displaystyle w_{\pm}(\mathbf{m};\lambda;z)=\sqrt{\Psi_{g,N}(%
\lambda,z)}\*\exp\left(\pm\frac{i\nu(\lambda)}{2}\int_{z_{0}}^{z}\frac{t^{m_{1%
}}(t-1)^{m_{2}}(t-a)^{m_{3}}\mathrm{d}t}{\Psi_{g,N}(\lambda,t)\sqrt{t(t-1)(t-a%
)}}\right)}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∫
{\displaystyle{\displaystyle\int}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
m
𝑚
{\displaystyle{\displaystyle m}}
a
𝑎
{\displaystyle{\displaystyle a}}
λ
=
-
4
q
𝜆
4
𝑞
{\displaystyle{\displaystyle\lambda=-4q}}
Ψ
g
,
N
(
λ
,
z
)
subscript
Ψ
𝑔
𝑁
𝜆
𝑧
{\displaystyle{\displaystyle\Psi_{g,N}(\lambda,z)}}
g
𝑔
{\displaystyle{\displaystyle g}}
N
𝑁
{\displaystyle{\displaystyle N}}
