DLMF:16.21.E2 (Q5288)

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DLMF:16.21.E2
No description defined

    Statements

    Defining formula
    G p , q 1 , p ⁡ ( z ⁢ e ( p - m - n - 1 ) ⁢ π ⁢ i ; a 1 , … , a p b j , b 1 , … , b j - 1 , b j + 1 , … , b q ) , Meijer-G 1 𝑝 𝑝 𝑞 𝑧 𝑝 𝑚 𝑛 1 𝜋 imaginary-unit subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 𝑗 subscript 𝑏 1 … subscript 𝑏 𝑗 1 subscript 𝑏 𝑗 1 … subscript 𝑏 𝑞 {\displaystyle{\displaystyle{G^{1,p}_{p,q}}\left(z{\mathrm{e}^{(p-m-n-1)\pi% \mathrm{i}}};{a_{1},\dots,a_{p}\atop b_{j},b_{1},\dots,b_{j-1},b_{j+1},\dots,b% _{q}}\right),}}
    0 references
    DLMF id
    DLMF:16.21.E2
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    constraint
    j = 1 , … , q 𝑗 1 … 𝑞 {\displaystyle{\displaystyle j=1,\dots,q}}
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    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
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    Q11690
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C16.S1.XMD1.m1adec
    0 references
     
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