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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=-45/8, b>=a > For fixed z and a=-45/8, b=-35/8





http://functions.wolfram.com/07.23.03.b67d.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(35/8), 9/2, -z] == -((256 (Sqrt[z] Sqrt[1 + z] (-772560 - 22149939 z - 411880707 z^2 - 44844601729 z^3 + 346024222577 z^4 - 673794615315 z^5 + 424792822711 z^6 - 82142104667 z^7 + 3181567851 z^8 + 15482082 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 (515040 + 15206556 z + 287183085 z^2 + 7906784634 z^3 - 96351816486 z^4 + 150860101034 z^5 + 71001882996 z^6 - 145085894610 z^7 + 37171519574 z^8 - 1594654446 z^9 - 7741041 z^10) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (8533891320955 z^(7/2) Sqrt[1 + z]))










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