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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Generic general cases





http://functions.wolfram.com/07.23.17.0059.01









  


  








Input Form





Hypergeometric2F1[a, b, c, z] == (((Gamma[c] Gamma[b - a])/(Gamma[b] Gamma[c - a])) Hypergeometric2F1[a, c - b, a - b + 1, 1/(1 - z)])/(1 - z)^a + (((Gamma[c] Gamma[a - b])/(Gamma[a] Gamma[c - b])) Hypergeometric2F1[b, c - a, b - a + 1, 1/(1 - z)])/(1 - z)^b /; !Element[a - b, Integers]








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