MaRDI QID Q5979
Digital Library of Mathematical Functions ID 16.19.E2
z
μ
G
p
,
q
m
,
n
(
z
;
a
1
,
…
,
a
p
b
1
,
…
,
b
q
)
=
G
p
,
q
m
,
n
(
z
;
a
1
+
μ
,
…
,
a
p
+
μ
b
1
+
μ
,
…
,
b
q
+
μ
)
,
superscript
𝑧
𝜇
Meijer-G
𝑚
𝑛
𝑝
𝑞
𝑧
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
Meijer-G
𝑚
𝑛
𝑝
𝑞
𝑧
subscript
𝑎
1
𝜇
…
subscript
𝑎
𝑝
𝜇
subscript
𝑏
1
𝜇
…
subscript
𝑏
𝑞
𝜇
{\displaystyle{\displaystyle z^{\mu}{G^{m,n}_{p,q}}\left(z;{a_{1},\dots,a_{p}%
\atop b_{1},\dots,b_{q}}\right)={G^{m,n}_{p,q}}\left(z;{a_{1}+\mu,\dots,a_{p}+%
\mu\atop b_{1}+\mu,\dots,b_{q}+\mu}\right),}}
Constraint(s)
Symbols List
G
p
,
q
m
,
n
(
z
;
a
1
,
…
,
a
p
b
1
,
…
,
b
q
)
Meijer-G
𝑚
𝑛
𝑝
𝑞
𝑧
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
{\displaystyle{\displaystyle{G^{\NVar{m},\NVar{n}}_{\NVar{p},\NVar{q}}}\left(%
\NVar{z};{\NVar{a_{1},\dots,a_{p}}\atop\NVar{b_{1},\dots,b_{q}}}\right)}}
: Meijer $$G$$ -function
p
𝑝
{\displaystyle{\displaystyle p}}
: nonnegative integer
q
𝑞
{\displaystyle{\displaystyle q}}
: nonnegative integer
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
a
,
a
1
,
…
,
a
p
𝑎
subscript
𝑎
1
…
subscript
𝑎
𝑝
{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
: real or complex parameters
b
,
b
1
,
…
,
b
q
𝑏
subscript
𝑏
1
…
subscript
𝑏
𝑞
{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}
: real or complex parameters
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