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DLMF:31.3.E9 - MaRDI portal
Statements
(
a
-
z
a
-
1
)
1
-
ϵ
H
ℓ
(
a
a
-
1
,
(
a
(
δ
+
γ
)
-
γ
)
(
1
-
ϵ
)
a
-
1
+
α
β
a
-
q
a
-
1
;
α
+
1
-
ϵ
,
β
+
1
-
ϵ
,
2
-
ϵ
,
δ
;
a
-
z
a
-
1
)
.
superscript
𝑎
𝑧
𝑎
1
1
italic-ϵ
Heun-local
𝑎
𝑎
1
𝑎
𝛿
𝛾
𝛾
1
italic-ϵ
𝑎
1
𝛼
𝛽
𝑎
𝑞
𝑎
1
𝛼
1
italic-ϵ
𝛽
1
italic-ϵ
2
italic-ϵ
𝛿
𝑎
𝑧
𝑎
1
{\displaystyle{\displaystyle\left(\frac{a-z}{a-1}\right)^{1-\epsilon}\mathit{H%
\!\ell}\left(\frac{a}{a-1},\frac{(a(\delta+\gamma)-\gamma)(1-\epsilon)}{a-1}+%
\frac{\alpha\beta a-q}{a-1};\alpha+1-\epsilon,\beta+1-\epsilon,2-\epsilon,%
\delta;\frac{a-z}{a-1}\right).}}
H
ℓ
(
a
,
q
;
α
,
β
,
γ
,
missing
;
missing
)
Heun-local
𝑎
𝑞
𝛼
𝛽
𝛾
missing
missing
{\displaystyle{\displaystyle\mathit{H\!\ell}\left(\NVar{a},\NVar{q};\NVar{%
\alpha},\NVar{\beta},\NVar{\gamma},\NVar{missing};missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
z
𝑧
{\displaystyle{\displaystyle z}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
a
𝑎
{\displaystyle{\displaystyle a}}
q
𝑞
{\displaystyle{\displaystyle q}}
α
𝛼
{\displaystyle{\displaystyle\alpha}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
Identifiers