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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=17/3





http://functions.wolfram.com/07.23.03.6847.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 17/3, -(3/2), z] == (1/(38016 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-38016 - 28160 z - 215424 z^2 + 1387703 z^3 - 2806028 z^4 + 2728752 z^5 - 1314560 z^6 + 252928 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-12672 - 18304 z + 666331 z^2 - 1855572 z^3 + 2166320 z^4 - 1188096 z^5 + 252928 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