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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









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}





http://functions.wolfram.com/07.34.03.1002.01









  


  








Input Form





MeijerG[{{a}, {c, b - 1}}, {{b, -1 + 2 b - c, -1 - a + 2 b}, {}}, z] == (-((Gamma[1 - 2 a + 2 b] Gamma[-a + 2 b - c])/(2 Gamma[2 - a + c]))) z^(-1 - a + 4 b - 2 c) (1 + z)^(-1 + 2 a - 4 b + 2 c) ((-1 + a - c) z HypergeometricPFQ[{-1 + a - 2 b + c, -1 - 2 b + 2 c}, {1 - a + c}, -(1/z)] + 2 (-1 + a - 2 b + c) HypergeometricPFQ[{a - 2 b + c, -2 b + 2 c}, {2 - a + c}, -(1/z)]) /; !IntervalMemberQ[Interval[{-Infinity, 0}], z]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29