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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}={1,2,3,2}





http://functions.wolfram.com/07.34.03.0514.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {Subscript[a, 3]}}, {{Subscript[b, 1]}, {Subscript[b, 2]}}, z] == Pi Csc[Pi (Subscript[a, 1] - Subscript[a, 2])] ((Gamma[1 - Subscript[a, 1] + Subscript[b, 1]]/ Gamma[Subscript[a, 1] - Subscript[b, 2]]) z^(-1 + Subscript[a, 1]) 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/z)] - (Gamma[1 - Subscript[a, 2] + Subscript[b, 1]]/ Gamma[Subscript[a, 2] - Subscript[b, 2]]) z^(-1 + Subscript[a, 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/z)]) /; !Element[Subscript[a, 2] - Subscript[a, 1], Integers]








Standard Form





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MathML Form







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</apply> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29