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Statements
lim
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α
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→
∞
F
q
p
+
1
(
a
1
,
…
,
a
p
,
α
b
1
,
…
,
b
q
;
z
α
)
=
F
q
p
(
a
1
,
…
,
a
p
b
1
,
…
,
b
q
;
z
)
.
subscript
→
𝛼
Gauss-hypergeometric-pFq
𝑝
1
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
𝛼
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
𝛼
Gauss-hypergeometric-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
{\displaystyle{\displaystyle\lim_{|\alpha|\to\infty}{{}_{p+1}F_{q}}\left({a_{1%
},\dots,a_{p},\alpha\atop b_{1},\dots,b_{q}};\frac{z}{\alpha}\right)={{}_{p}F_%
{q}}\left({a_{1},\dots,a_{p}\atop b_{1},\dots,b_{q}};z\right).}}
F
q
p
(
a
1
,
…
,
a
p
;
b
1
,
…
,
b
q
;
z
)
Gauss-hypergeometric-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots%
,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
p
𝑝
{\displaystyle{\displaystyle p}}
q
𝑞
{\displaystyle{\displaystyle q}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
,
a
1
,
…
,
a
p
𝑎
subscript
𝑎
1
…
subscript
𝑎
𝑝
{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
b
,
b
1
,
…
,
b
q
𝑏
subscript
𝑏
1
…
subscript
𝑏
𝑞
{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}
Identifiers
