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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/07.34.03.1005.01









  


  








Input Form





MeijerG[{{a}, {c, 2 b - a}}, {{b, -(1/2) + b, -1 + c}, {}}, z] == ((2^(a - 2 b + c) Sqrt[Pi])/(c - a)) z^((a + c)/2 - 1) (Sqrt[z] + Sqrt[1 + z])^(a - c) Hypergeometric2F1[-a + c, 1 - a + 2 b - c, 1 - a + c, (Sqrt[z] - Sqrt[1 + z])/(2 Sqrt[z])] /; !IntervalMemberQ[Interval[{-1, 0}], z]








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