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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}={1,3,3,3}





http://functions.wolfram.com/07.34.03.0534.01









  


  










Input Form





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