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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==1 > Case {m,n,p,q}={1,4,4,4}





http://functions.wolfram.com/07.34.03.0603.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {}}, {{0}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}}, -1] == ((((-1)^(-2 + Subscript[b, 1]) Gamma[1 - Subscript[a, 1]] Gamma[1 - Subscript[a, 2]] Gamma[1 - Subscript[a, 3]] Gamma[1 - Subscript[a, 4]])/(Gamma[1 - Subscript[b, 1]] Gamma[Subscript[b, 1]])) Sqrt[Gamma[Subscript[a, 1]]] Sqrt[Gamma[Subscript[a, 2]]] Sqrt[Gamma[Subscript[a, 3]]] Sqrt[Gamma[Subscript[a, 4]]] Sqrt[Gamma[1 - Subscript[a, 1] + Subscript[b, 1]]] Sqrt[Gamma[1 - Subscript[a, 2] + Subscript[b, 1]]] Sqrt[Gamma[1 - Subscript[a, 3] + Subscript[b, 1]]] Sqrt[Gamma[1 - Subscript[a, 4] + Subscript[b, 1]]] SixJSymbol[{(1/2) (-2 + Subscript[a, 1] + Subscript[a, 4] - Subscript[b, 3]), (1/2) (-2 + Subscript[a, 1] + Subscript[a, 3] - Subscript[b, 2]), (1/2) (-Subscript[a, 1] - Subscript[a, 2] + Subscript[b, 1])}, {(1/2) (-2 + Subscript[a, 2] + Subscript[a, 3] - Subscript[b, 3]), (1/2) (-2 + Subscript[a, 2] + Subscript[a, 4] - Subscript[b, 2]), (1/2) (-Subscript[a, 3] - Subscript[a, 4] + Subscript[b, 1])}])/(Sqrt[Gamma[Subscript[a, 1] - Subscript[b, 2]]] Sqrt[Gamma[Subscript[a, 2] - Subscript[b, 2]]] Sqrt[Gamma[Subscript[a, 3] - Subscript[b, 2]]] Sqrt[Gamma[Subscript[a, 4] - Subscript[b, 2]]] Sqrt[Gamma[Subscript[a, 1] - Subscript[b, 3]]] Sqrt[Gamma[Subscript[a, 2] - Subscript[b, 3]]] Sqrt[Gamma[Subscript[a, 3] - Subscript[b, 3]]] Sqrt[Gamma[Subscript[a, 4] - Subscript[b, 3]]]) /; Subscript[a, 1] + Subscript[a, 2] + Subscript[a, 3] + Subscript[a, 4] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3] == 2








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