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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=17/3





http://functions.wolfram.com/07.23.03.7593.01









  


  








Input Form





Hypergeometric2F1[1/3, 17/3, -(3/2), z] == (1/(27648 (-1 + z)^7)) ((1/Sqrt[1 - z]) ((-27648 + 243712 z - 1257472 z^2 + 528823 z^3 - 412580 z^4 + 212728 z^5 - 63520 z^6 + 8320 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-9216 + 74752 z + 384731 z^2 - 327436 z^3 + 184088 z^4 - 59360 z^5 + 8320 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