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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=-3/8, b>=a > For fixed z and a=-3/8, b=33/8





http://functions.wolfram.com/07.23.03.bvx1.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 33/8, -(9/2), -z] == (1/(21504 (1 + z)^(61/8))) ((21504 + 139776 z + 374460 z^2 + 509615 z^3 + 294525 z^4 - 333795 z^5 - 310365 z^6 - 124080 z^7 - 19712 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (26880 + 179760 z + 500961 z^2 + 725779 z^3 + 490875 z^4 + 417153 z^5 + 159720 z^6 + 24640 z^7) Sin[(5 ArcTan[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