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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/07.34.03.1025.01









  


  










Input Form





MeijerG[{{a}, {c, -a + 2 c}}, {{b, -b + 2 c, -(1/2) + c}, {}}, z] == ((Sqrt[Pi] Gamma[1 - a + b] Gamma[1 - a - b + 2 c])/Sqrt[1 + z]) z^(-(1/2) + c) LegendreP[b - c, a - c, 3, Sqrt[1 + 1/z]] LegendreP[-b + c, a - c, 3, Sqrt[1 + 1/z]] /; !IntervalMemberQ[Interval[{-1, 0}], z]










Standard Form





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MathML Form







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</mo> <mrow> <mi> z </mi> <mo> &#8713; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> , </mo> <mn> 0 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29