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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=-5/3, b>=a > For fixed z and a=-5/3, b=2/3





http://functions.wolfram.com/07.23.03.6642.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 2/3, 7/2, z] == (1/(95095 z^(5/2))) (81 ((Sqrt[z] (-72 + 392 z + 87 z^2 - 495 z^3 + 88 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + (216 - 1112 z + 2960 z^2 - 451 z^3 + 88 z^4) Sin[ArcSin[Sqrt[z]]/3]))










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)





2007-05-02