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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/07.34.03.0596.01









  


  








Input Form





MeijerG[{{a, c, d, 1 + 2 a - b}, {}}, {{b}, {1 + a, 1 + 2 a - c, 1 + 2 a - d}}, z] == ((Gamma[1 - 2 a + 2 b] Gamma[1 + b - c] Gamma[1 + b - d])/ (2 Gamma[-2 a + b + c] Gamma[-2 a + b + d])) z^b (1 - z) (1 + z)^(-1 + 2 a - 2 b) HypergeometricPFQ[{1/2 - a + b, 1 - a + b, -1 - 2 a + c + d}, {-2 a + b + c, -2 a + b + d}, (4 z)/(1 + z)^2] /; Abs[z] < 1








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