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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=-27/8





http://functions.wolfram.com/07.23.03.b69p.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(27/8), 1/2, z] == (1/(80155 Sqrt[1 - z])) (Sqrt[1 - z] (80155 + 4362561 z + 23558250 z^2 + 25412530 z^3 + 4637007 z^4 - 121923 z^5 + 5244 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-1728843 - 13918309 z - 5963266 z^2 + 17032406 z^3 + 4697313 z^4 - 124545 z^5 + 5244 z^6) 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