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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions with rational arguments





http://functions.wolfram.com/07.23.26.0023.01









  


  










Input Form





(1 + z)^(1 - a) Hypergeometric2F1[a, 1 - a, c, z/(1 + z)] == ((2 Gamma[c])/(Gamma[-1 + a] Gamma[-1 + a + c])) MeijerG[{{2 - a, 3 - a - c, 1 - (a + c)/2}, {}}, {{0}, {1 - c, 2 - (a + c)/2}}, z] /; !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





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