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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.b67c.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(35/8), 9/2, z] == (1/(8533891320955 z^(7/2))) (256 ((-Sqrt[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) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (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) Sin[(3 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