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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/07.34.03.1029.01









  


  








Input Form





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