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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Major general cases





http://functions.wolfram.com/07.24.17.0058.01









  


  










Input Form





Hypergeometric2F1Regularized[a, b, c, z] == (Pi/Sin[Pi (b - a)]) (((1/(Gamma[b] Gamma[c - a])) Hypergeometric2F1Regularized[a, c - b, a - b + 1, 1/(1 - z)])/(1 - z)^a - ((1/(Gamma[a] Gamma[c - b])) Hypergeometric2F1Regularized[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





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