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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/07.24.17.0072.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, c, z] == ((Gamma[1 - a] Gamma[1 - b])/(Gamma[-a + c] Gamma[-b + c])) z^(1 - c) Hypergeometric2F1Regularized[1 + b - c, 1 + a - c, 2 - c, z] + ((Gamma[1 - a] Gamma[1 - b])/(Gamma[c] Gamma[1 - c])) (1 - z)^(-a - b + c) Hypergeometric2F1Regularized[-b + c, -a + c, 1 - a - b + c, 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