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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Relations including three Kummer's solutions





http://functions.wolfram.com/07.23.17.0062.01









  


  










Input Form





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