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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=1/3, b>=a > For fixed z and a=1/3, b=14/3





http://functions.wolfram.com/07.23.03.7546.01









  


  








Input Form





Hypergeometric2F1[1/3, 14/3, -(9/2), z] == (1/(1679616 (-1 + z)^9)) ((1/Sqrt[1 - z]) ((-1679616 + 16630272 z - 74845440 z^2 + 204058624 z^3 - 387228160 z^4 + 667741184 z^5 - 99363657 z^6 + 33563440 z^7 - 7256960 z^8 + 725696 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-559872 + 5149440 z - 21367808 z^2 + 53357568 z^3 - 92989952 z^4 - 85076517 z^5 + 30207096 z^6 - 6894112 z^7 + 725696 z^8) 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