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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 powers of 2F1





http://functions.wolfram.com/07.23.26.0093.01









  


  










Input Form





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