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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=-41/8





http://functions.wolfram.com/07.23.03.b65w.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(41/8), 5/2, -z] == (1/(49343 z^(3/2) (1 + z)^(3/8))) (16 (Sqrt[z] (3 + 3367 z - 45045 z^2 + 145431 z^3 - 151151 z^4 + 51597 z^5 - 4767 z^6 + 53 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (2 + 189 z - 7644 z^2 + 47047 z^3 - 84942 z^4 + 51051 z^5 - 9464 z^6 + 369 z^7) Sin[(3 ArcTan[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