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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/07.24.17.0056.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, c, z] == Pi Csc[Pi (b - a)] (((1/(Gamma[b] Gamma[c - a])) Hypergeometric2F1Regularized[a, a - c + 1, a - b + 1, 1/z])/(-z)^a - ((1/(Gamma[a] Gamma[c - b])) Hypergeometric2F1Regularized[b, b - c + 1, b - a + 1, 1/z])/(-z)^b) /; !Element[a - b, Integers] && !IntervalMemberQ[Interval[{0, 1}], z]








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