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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}={2,2,2,2}





http://functions.wolfram.com/07.34.03.0882.01









  


  








Input Form





MeijerG[{{a, -(1/2) + 2 a - b}, {}}, {{b, -(1/2) + a}, {}}, z] == ((2^(a - b) Pi^2 Csc[(a - b) Pi] Gamma[3/2 - 2 a + 2 b] ((1 - z) Sign[1 - Abs[z]])^(-(1/2) + a - b))/(Gamma[a - b] Sqrt[1 + z])) z^((1/4) (-1 + 2 a + 2 b)) LegendreP[-(1/4), -(1/2) + a - b, 2, -((1 - 6 z + z^2)/(1 + z)^2)] /; !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