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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==3 > Case {m,n,p,q}={3,1,3,3}





http://functions.wolfram.com/07.34.03.1028.01









  


  








Input Form





MeijerG[{{a}, {c, 2 c - a + 2}}, {{b, 1 - b + 2 c, 1/2 + c}, {}}, z] == (-((2^(2 (-1 + a - c)) Sqrt[Pi] Gamma[1 - a + b] Gamma[2 - a - b + 2 c])/ ((1 - a + c) Gamma[1 - a + c]^2))) z^(-1 + a) Hypergeometric2F1[(b - a + 1)/2, Hypergeometric2F1[c + 1 - (a + b)/2], 2 - a + c, -(1/z)] (-2 Hypergeometric2F1[(b - a + 1)/2, Hypergeometric2F1[c + 1 - (a + b)/2], 1 - a + c, -(1/z)] + Hypergeometric2F1[(b - a + 1)/2, Hypergeometric2F1[c + 1 - (a + b)/2], 2 - a + c, -(1/z)])








Standard Form





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MathML Form







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Hypergeometric2F1 </ci> <apply> <times /> <apply> <plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> a </ci> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <ci> c </ci> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <plus /> <ci> a </ci> <ci> b </ci> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <ci> c </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> a </ci> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29