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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 2F~1with algebraic arguments





http://functions.wolfram.com/07.23.26.0167.01









  


  










Input Form





Hypergeometric2F1[a, a + 1/2, c, (1 - Sqrt[1 + z])/2] Hypergeometric2F1Regularized[a, a + 1/2, 2 a - c + 3/2, (1 - Sqrt[1 + z])/2] == ((2^(-(3/2) + 4 a) Gamma[c])/(Pi Gamma[2 a])) MeijerG[{{1/4 - a, 1/2 - a, 3/4 - a, 1 - a}, {}}, {{0}, {1 - c, -2 a + 1/2, -2 a + c - 1/2}}, z]










Standard Form





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MathML Form







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Rule Form





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2001-10-29





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