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





http://functions.wolfram.com/07.34.03.0926.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {Subscript[a, 3], Subscript[a, 4]}}, {{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[1 - Subscript[a, 1] + Subscript[b, 2]] z^(-1 + Subscript[a, 1]) HypergeometricPFQ[{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] - Gamma[1 - Subscript[a, 2] + Subscript[b, 1]] Gamma[1 - Subscript[a, 2] + Subscript[b, 2]] z^(-1 + Subscript[a, 2]) HypergeometricPFQ[{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])








Standard Form





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MathML Form







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</cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </list> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29