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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Values at other z > Values at z including phi





http://functions.wolfram.com/07.23.03.0665.01









  


  








Input Form





Hypergeometric2F1[a, 1 - a, (3 a)/2 - 1/2, 1 - GoldenRatio] == 3^(-1 + (3 a)/2) 5^(1/2 - (5 a)/4) GoldenRatio^(-2 + (3 a)/2) Gamma[-(1/6) + a/2] Gamma[1/6 + a/2] (GoldenRatio/(Gamma[-(1/10) + a/2] Gamma[1/10 + a/2]) + 1/(Gamma[-(3/10) + a/2] Gamma[3/10 + a/2]))








Standard Form





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MathML Form







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Rule Form





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Contributed by





Bill Gosper










Date Added to functions.wolfram.com (modification date)





2007-05-02