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DLMF:16.19.E5 - MaRDI portal
Statements
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italic-ϑ
Meijer-G
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𝑞
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𝑞
Meijer-G
𝑚
𝑛
𝑝
𝑞
𝑧
subscript
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1
subscript
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subscript
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Meijer-G
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𝑞
{\displaystyle{\displaystyle\vartheta{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}-1,a_{2},\dots,a_%
{p}\atop b_{1},\dots,b_{q}}\right)+(a_{1}-1){G^{m,n}_{p,q}}\left(z;{a_{1},%
\dots,a_{p}\atop b_{1},\dots,b_{q}}\right),}}
G
p
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q
m
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n
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z
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a
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Meijer-G
𝑚
𝑛
𝑝
𝑞
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subscript
𝑎
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subscript
𝑎
𝑝
subscript
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subscript
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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)}}
p
𝑝
{\displaystyle{\displaystyle p}}
q
𝑞
{\displaystyle{\displaystyle q}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
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a
1
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…
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a
p
𝑎
subscript
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1
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subscript
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𝑝
{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
b
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b
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b
q
𝑏
subscript
𝑏
1
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subscript
𝑏
𝑞
{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}
ϑ
italic-ϑ
{\displaystyle{\displaystyle\vartheta}}
Identifiers