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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/07.23.17.0063.01









  


  










Input Form





Hypergeometric2F1[a, b, c, z] == (((Gamma[1 - b] Gamma[1 + a - c])/(Gamma[1 + a - b] Gamma[1 - c])) Hypergeometric2F1[a, a + 1 - c, a + 1 - b, 1/z])/(-z)^a + ((Gamma[1 - b] Gamma[1 + a - c] Gamma[c])/(Gamma[a] Gamma[2 - c] Gamma[c - b])) (-z)^(1 - c) Hypergeometric2F1[a + 1 - c, b + 1 - c, 2 - c, 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