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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==0 > Case {m,n,p,q}={0,3,4,2}





http://functions.wolfram.com/07.34.03.0211.01









  


  










Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[a, 4]}}, {{}, {Subscript[b, 1], Subscript[b, 2]}}, z] == ((Pi^2 z^(-1 + Subscript[a, 1]) Csc[Pi (Subscript[a, 1] - Subscript[a, 2])] Csc[Pi (Subscript[a, 1] - Subscript[a, 3])])/ (Gamma[Subscript[a, 1] - Subscript[b, 1]] Gamma[Subscript[a, 1] - Subscript[b, 2]])) HypergeometricPFQRegularized[ {1 - Subscript[a, 1] + Subscript[b, 1], 1 - Subscript[a, 1] + Subscript[b, 2]}, {1 - Subscript[a, 1] + Subscript[a, 2], 1 - Subscript[a, 1] + Subscript[a, 3], 1 - Subscript[a, 1] + Subscript[a, 4]}, -(1/z)] + ((Pi^2 z^(-1 + Subscript[a, 2]) Csc[Pi (-Subscript[a, 1] + Subscript[a, 2])] Csc[Pi (Subscript[a, 2] - Subscript[a, 3])])/ (Gamma[Subscript[a, 2] - Subscript[b, 1]] Gamma[Subscript[a, 2] - Subscript[b, 2]])) HypergeometricPFQRegularized[ {1 - Subscript[a, 2] + Subscript[b, 1], 1 - Subscript[a, 2] + Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 - Subscript[a, 2] + Subscript[a, 3], 1 - Subscript[a, 2] + Subscript[a, 4]}, -(1/z)] + ((Pi^2 z^(-1 + Subscript[a, 3]) Csc[Pi (-Subscript[a, 1] + Subscript[a, 3])] Csc[Pi (-Subscript[a, 2] + Subscript[a, 3])])/ (Gamma[Subscript[a, 3] - Subscript[b, 1]] Gamma[Subscript[a, 3] - Subscript[b, 2]])) HypergeometricPFQRegularized[ {1 - Subscript[a, 3] + Subscript[b, 1], 1 - Subscript[a, 3] + Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 3], 1 + Subscript[a, 2] - Subscript[a, 3], 1 - Subscript[a, 3] + Subscript[a, 4]}, -(1/z)] /; !IntervalMemberQ[Interval[{-Infinity, 0}], z] && !Element[Subscript[a, 2] - Subscript[a, 1], Integers] && !Element[Subscript[a, 3] - Subscript[a, 1], Integers] && !Element[Subscript[a, 3] - Subscript[a, 2], Integers]










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