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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==2 > Case {m,n,p,q}={2,0,2,2}





http://functions.wolfram.com/07.34.03.0655.01









  


  








Input Form





MeijerG[{{}, {a, c}}, {{b, -(1/2) + a - b + c}, {}}, z] == ((2^(-(1/2) - a + 2 b - c) Gamma[1 - a + b] Gamma[1 + b - c])/ (Pi Sqrt[1 - z])) z^((1/4) (-1 + 2 a + 2 c)) UnitStep[1 - Abs[z]] (LegendreP[-(1/2) - a + c, -(1/2) + a - 2 b + c, 2, -Sqrt[1 - z]] + LegendreP[-(1/2) - a + c, -(1/2) + a - 2 b + c, 2, Sqrt[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