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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/07.24.17.0075.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, c, z] == (Gamma[1 - a]/Gamma[b]) (1 - 1/z)^(c - a - b) (-(1/z))^a Hypergeometric2F1Regularized[1 - b, -b + c, 1 - a - b + c, 1 - 1/z] + (Gamma[1 - a]/Gamma[-b + c]) (1/z)^b Hypergeometric2F1Regularized[b, 1 + b - c, 1 - a + b, 1/z] /; !IntervalMemberQ[Interval[{1, Infinity}], 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