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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 > Generalized cases for the direct function itself





http://functions.wolfram.com/07.23.26.0210.01









  


  










Input Form





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










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