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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 for the direct function itself





http://functions.wolfram.com/07.23.26.0273.01









  


  








Input Form





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








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)





2007-05-02