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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/07.23.03.7591.01









  


  








Input Form





Hypergeometric2F1[1/3, 17/3, -(5/2), z] == (1/(414720 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((414720 - 3861504 z + 17016832 z^2 - 58462208 z^3 + 17785179 z^4 - 11150436 z^5 + 4804472 z^6 - 1232160 z^7 + 141440 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (138240 - 1189888 z + 4845568 z^2 + 13665263 z^3 - 9166060 z^4 + 4241432 z^5 - 1161440 z^6 + 141440 z^7) 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