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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==1 > Case {m,n,p,q}={1,4,4,4}





http://functions.wolfram.com/07.34.03.0598.01









  


  










Input Form





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