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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions with rational arguments





http://functions.wolfram.com/07.24.26.0025.01









  


  








Input Form





(1 + z)^(1 - b) Hypergeometric2F1Regularized[a, b, -1 - a + 2 b, z/(1 + z)] == (1/(2 Gamma[b] Gamma[-2 - 2 a + 2 b])) MeijerG[{{2 - 2 b, 3 + 2 a - 2 b, 2 - b}, {}}, {{0}, {3 - 2 b, 2 + a - 2 b}}, 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