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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 8 and fixed z and a<0 > For fixed z and a=-15/8, b>=a > For fixed z and a=-15/8, b=47/8





http://functions.wolfram.com/07.23.03.bphf.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 47/8, -(7/2), z] == -((1/(1277696 (1 - z)^(15/2))) (Sqrt[1 - z] (-1277696 + 4962480 z - 3661255 z^2 - 4736459 z^3 - 18102357 z^4 + 81965719 z^5 - 121753280 z^6 + 91190880 z^7 - 35071872 z^8 + 5537664 z^9) Cos[ArcSin[Sqrt[z]]/4] + 8 Sqrt[z] (-39928 + 167555 z - 157573 z^2 - 129766 z^3 - 6043364 z^4 + 16677397 z^5 - 20413855 z^6 + 13504326 z^7 - 4730088 z^8 + 692208 z^9) Sin[ArcSin[Sqrt[z]]/4]))








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