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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}={2,1,2,2}





http://functions.wolfram.com/07.34.03.0744.01









  


  








Input Form





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