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Hypergeometric Functions
MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z]
Specific values
Specialized values
Cases with m==3
Case {m,n,p,q}={3,1,3,3}
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http://functions.wolfram.com/07.34.03.1007.01
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MeijerG[{{a}, {c, 2 b - c + 1}}, {{b, (1/2) (-1 + a + c), (1/2) (a - c) + b},
{}}, z] == ((2 Pi Gamma[1 - a + b])/(Gamma[b + (1/2) (3 - a - c)]
Gamma[1 + (1/2) (-a + c)])) z^b (1 + 4 z)^(-1 + a - b)
HypergeometricPFQ[{(1 - a + b)/3, (2 - a + b)/3, 1 + (b - a)/3},
{(3 - a - c)/2 + b, 1 + (c - a)/2}, (27 z)/(1 + 4 z)^3]
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</apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </list> <apply> <times /> <cn type='integer'> 27 </cn> <ci> z </ci> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 3 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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Date Added to functions.wolfram.com (modification date)
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MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z,r] | |
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