DLMF:16.19.E1 (Q5281): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11693 / rank
 
Normal rank
Property / Symbols used: Q11693 / qualifier
 
Defining formula:

a , a 1 , … , a p 𝑎 subscript 𝑎 1 … subscript 𝑎 𝑝 {\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}

a,a_{1},\ldots,a_{p}
Property / Symbols used: Q11693 / qualifier
 
xml-id: C16.S1.XMD4.m1dec

Revision as of 14:43, 2 January 2020

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DLMF:16.19.E1
No description defined

    Statements

    Defining formula
    G p , q m , n ⁡ ( 1 z ; a 1 , … , a p b 1 , … , b q ) = G q , p n , m ⁡ ( z ; 1 - b 1 , … , 1 - b q 1 - a 1 , … , 1 - a p ) , Meijer-G 𝑚 𝑛 𝑝 𝑞 1 𝑧 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 Meijer-G 𝑛 𝑚 𝑞 𝑝 𝑧 1 subscript 𝑏 1 … 1 subscript 𝑏 𝑞 1 subscript 𝑎 1 … 1 subscript 𝑎 𝑝 {\displaystyle{\displaystyle{G^{m,n}_{p,q}}\left(\frac{1}{z};{a_{1},\dots,a_{p% }\atop b_{1},\dots,b_{q}}\right)={G^{n,m}_{q,p}}\left(z;{1-b_{1},\dots,1-b_{q}% \atop 1-a_{1},\dots,1-a_{p}}\right),}}
    0 references
    DLMF id
    DLMF:16.19.E1
    0 references
    Symbols used
    Meijer $$G$$ -function
    Defining formula
    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)}}
    xml-id
    C16.S17.E1.m2adec
    0 references
    Q11690
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C16.S1.XMD1.m1dec
    0 references
    Q11691
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C16.S1.XMD2.m1dec
    0 references
    Q11692
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C16.S1.XMD3.m1dec
    0 references
    Q11693
    Defining formula
    a , a 1 , … , a p 𝑎 subscript 𝑎 1 … subscript 𝑎 𝑝 {\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
    xml-id
    C16.S1.XMD4.m1dec
    0 references
     
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