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Statements
θ
m
=
(
1
-
e
2
π
i
γ
)
(
1
-
e
2
π
i
δ
)
ζ
γ
(
1
-
ζ
)
δ
(
ζ
-
a
)
ϵ
f
0
(
q
,
ζ
)
f
1
(
q
,
ζ
)
∂
∂
q
𝒲
{
f
0
(
q
,
ζ
)
,
f
1
(
q
,
ζ
)
}
|
q
=
q
m
,
subscript
𝜃
𝑚
evaluated-at
1
2
𝜋
𝑖
𝛾
1
2
𝜋
𝑖
𝛿
superscript
𝜁
𝛾
superscript
1
𝜁
𝛿
superscript
𝜁
𝑎
italic-ϵ
subscript
𝑓
0
𝑞
𝜁
subscript
𝑓
1
𝑞
𝜁
partial-derivative
𝑞
Wronskian
subscript
𝑓
0
𝑞
𝜁
subscript
𝑓
1
𝑞
𝜁
𝑞
subscript
𝑞
𝑚
{\displaystyle{\displaystyle\theta_{m}=(1-{\mathrm{e}^{2\pi i\gamma}})(1-{%
\mathrm{e}^{2\pi i\delta}})\zeta^{\gamma}(1-\zeta)^{\delta}(\zeta-a)^{\epsilon%
}\*\frac{f_{0}(q,\zeta)}{f_{1}(q,\zeta)}\left.\frac{\partial}{\partial q}%
\mathscr{W}\left\{f_{0}(q,\zeta),f_{1}(q,\zeta)\right\}\right|_{q=q_{m}},}}
𝒲
Wronskian
{\displaystyle{\displaystyle\mathscr{W}}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
m
𝑚
{\displaystyle{\displaystyle m}}
a
𝑎
{\displaystyle{\displaystyle a}}
q
𝑞
{\displaystyle{\displaystyle q}}
ζ
𝜁
{\displaystyle{\displaystyle\zeta}}
f
0
(
q
m
,
z
)
subscript
𝑓
0
subscript
𝑞
𝑚
𝑧
{\displaystyle{\displaystyle f_{0}(q_{m},z)}}
