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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=-47/8, b>=a > For fixed z and a=-47/8, b=-25/8





http://functions.wolfram.com/07.23.03.b4ru.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(25/8), -(9/2), z] == (1/(64512 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-64512 + 265216 z - 397076 z^2 + 236229 z^3 - 17850 z^4 - 9435 z^5 + 7140 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (16128 - 71344 z + 117847 z^2 - 82521 z^3 + 14025 z^4 + 13005 z^5 - 7140 z^6) 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