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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=-5/8





http://functions.wolfram.com/07.23.03.b8wj.01









  


  










Input Form





Hypergeometric2F1[-(41/8), -(5/8), 3/2, -z] == (1/(878787 Sqrt[z] (1 + z)^(7/8))) (4 (Sqrt[z] (286783 - 1460284 z + 303282 z^2 + 105060 z^3 + 46663 z^4 + 13584 z^5 + 1792 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] - (38335 - 894804 z + 1221538 z^2 + 251076 z^3 + 99351 z^4 + 25928 z^5 + 3136 z^6) Sin[(7 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