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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=5/3





http://functions.wolfram.com/07.23.03.6667.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 5/3, -(11/2), z] == (1/(1515591 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-1515591 + 7654500 z - 15089949 z^2 + 13952738 z^3 - 5138393 z^4 - 206448 z^5 - 236555 z^6 + 120428 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-505197 + 2195991 z - 3523464 z^2 + 2321238 z^3 - 279565 z^4 - 176341 z^5 + 120428 z^6) 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