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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/07.34.03.1027.01









  


  










Input Form





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