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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=-14/3, b>=a > For fixed z and a=-14/3, b=2/3





http://functions.wolfram.com/07.23.03.5241.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 2/3, 9/2, z] == -((243 (Sqrt[z] (-138240 + 1328128 z - 6035456 z^2 - 8819695 z^3 + 22831323 z^4 - 13407492 z^5 + 5402872 z^6 - 1302880 z^7 + 141440 z^8) Cos[ArcSin[Sqrt[z]]/3] + 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) Sin[ArcSin[Sqrt[z]]/3]))/ (7248460765 Sqrt[1 - z] z^(7/2)))










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