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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 and 2F~1with algebraic arguments





http://functions.wolfram.com/07.23.26.0185.01









  


  










Input Form





(1 + 2 z - 2 Sqrt[z] Sqrt[1 + z])^(a + b - c) Hypergeometric2F1[a, b, c, -2 z + 2 Sqrt[z] Sqrt[1 + z]] Hypergeometric2F1Regularized[-a + c, -b + c, c, -2 (z + Sqrt[z] Sqrt[1 + z])] == ((2^(1 - c) Sqrt[Pi] Gamma[c])/(Gamma[a] Gamma[b] Gamma[-a + c] Gamma[-b + c])) MeijerG[{{1 + a - c, 1 + b - c, 1 - a, 1 - b}, {}}, {{0}, {(1 - c)/2, 1 - c/2, 1 - c}}, 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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