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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}={0,2,2,2}





http://functions.wolfram.com/07.34.03.0095.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {}}, {{}, {Subscript[b, 1], Subscript[b, 2]}}, z] == Pi Csc[Pi (Subscript[a, 1] - Subscript[a, 2])] ((z^(-1 + Subscript[a, 1])/(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/z] - (z^(-1 + Subscript[a, 2])/(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/z]) UnitStep[Abs[z] - 1] /; !Element[Subscript[a, 2] - Subscript[a, 1], 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