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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=-41/8, b>=a > For fixed z and a=-41/8, b=-21/8





http://functions.wolfram.com/07.23.03.b8s9.01









  


  










Input Form





Hypergeometric2F1[-(41/8), -(21/8), 9/2, -z] == (256 (Sqrt[z] (560 + 11851 z + 154511 z^2 + 9358115 z^3 - 48457409 z^4 + 56437017 z^5 - 17051195 z^6 + 711529 z^7 + 22589 z^8 + 784 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] - 2 (160 + 3276 z + 41825 z^2 + 773528 z^3 - 13304837 z^4 + 30824794 z^5 - 18573737 z^6 + 2506484 z^7 + 20237 z^8 + 686 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/(1675531347 z^(7/2) (1 + z)^(7/8))










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