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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}={2,1,2,3}





http://functions.wolfram.com/07.34.03.0831.01









  


  








Input Form





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








Standard Form





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MathML Form







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<times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 3 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </list> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <notin /> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 1 </cn> </apply> </apply> </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