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Statements
w
~
j
(
z
)
=
(
-
z
)
-
a
j
F
q
q
+
1
(
a
j
,
1
-
b
1
+
a
j
,
…
,
1
-
b
q
+
a
j
1
-
a
1
+
a
j
,
…
*
…
,
1
-
a
q
+
1
+
a
j
;
1
z
)
,
subscript
~
𝑤
𝑗
𝑧
superscript
𝑧
subscript
𝑎
𝑗
Gauss-hypergeometric-pFq
𝑞
1
𝑞
subscript
𝑎
𝑗
1
subscript
𝑏
1
subscript
𝑎
𝑗
…
1
subscript
𝑏
𝑞
subscript
𝑎
𝑗
1
subscript
𝑎
1
subscript
𝑎
𝑗
…
…
1
subscript
𝑎
𝑞
1
subscript
𝑎
𝑗
1
𝑧
{\displaystyle{\displaystyle\widetilde{w}_{j}(z)=(-z)^{-a_{j}}{{}_{q+1}F_{q}}%
\left({a_{j},1-b_{1}+a_{j},\dots,1-b_{q}+a_{j}\atop 1-a_{1}+a_{j},\ldots*\dots%
,1-a_{q+1}+a_{j}};\frac{1}{z}\right),}}
j
=
1
,
…
,
q
+
1
𝑗
1
…
𝑞
1
{\displaystyle{\displaystyle j=1,\dots,q+1}}
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)}}
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}}}
w
𝑤
{\displaystyle{\displaystyle w}}
Identifiers
