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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 squares in arguments





http://functions.wolfram.com/07.24.26.0048.01









  


  








Input Form





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