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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/07.34.03.0547.01









  


  










Input Form





MeijerG[{{a, c, 2 a - c}, {}}, {{b}, {-(1/2) + a, 2 a - b}}, z] == ((Sqrt[Pi] Gamma[1 + b - c] Gamma[1 - 2 a + b + c])/Sqrt[1 + z]) z^a LegendreP[-(1/2) - a + c, -(1/2) + a - b, 3, Sqrt[1 + z]] LegendreP[-(1/2) - a + c, 1/2 + a - b, 3, 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