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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/07.34.03.1019.01









  


  








Input Form





MeijerG[{{a}, {c, 2 c - a}}, {{b, -1 - b + 2 c, -(1/2) + c}, {}}, z] == ((2^(2 (a - c)) Sqrt[Pi] Gamma[1 - a + b] Gamma[-a - b + 2 c])/ Gamma[1 - a + c]^2) z^(-(3/2) + a) Sqrt[1 + z] Hypergeometric2F1[(1/2) (1 - a + b), (1/2) (-a - b) + c, 1 - a + c, -(1/z)] Hypergeometric2F1[(1/2) (-a + b) + 1, (1/2) (1 - a - b) + c, 1 - a + c, -(1/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