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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Relations including three Kummer's solutions





http://functions.wolfram.com/07.24.17.0066.01









  


  








Input Form





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