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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/07.23.17.0071.01









  


  








Input Form





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








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