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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/07.34.03.0595.01









  


  










Input Form





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