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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}={0,2,5,1}





http://functions.wolfram.com/07.34.03.0195.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {Subscript[a, 3], Subscript[a, 4], Subscript[a, 5]}}, {{}, {Subscript[b, 1]}}, z] == Pi Csc[Pi (Subscript[a, 1] - Subscript[a, 2])] ((z^(-1 + Subscript[a, 1])/Gamma[Subscript[a, 1] - Subscript[b, 1]]) HypergeometricPFQRegularized[{1 - Subscript[a, 1] + Subscript[b, 1]}, {1 - Subscript[a, 1] + Subscript[a, 2], 1 - Subscript[a, 1] + Subscript[a, 3], 1 - Subscript[a, 1] + Subscript[a, 4], 1 - Subscript[a, 1] + Subscript[a, 5]}, -(1/z)] - (z^(-1 + Subscript[a, 2])/Gamma[Subscript[a, 2] - Subscript[b, 1]]) HypergeometricPFQRegularized[{1 - Subscript[a, 2] + Subscript[b, 1]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 - Subscript[a, 2] + Subscript[a, 3], 1 - Subscript[a, 2] + Subscript[a, 4], 1 - Subscript[a, 2] + Subscript[a, 5]}, -(1/z)]) /; !IntervalMemberQ[Interval[{-Infinity, 0}], z] && !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