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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=-29/8





http://functions.wolfram.com/07.23.03.b8p6.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(29/8), -(11/2), -z] == (1/(135168 (1 + z)^(7/8))) ((135168 + 367872 z + 252000 z^2 - 87583 z^3 - 131350 z^4 - 22243 z^5 + 1508 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (236544 + 806400 z + 985236 z^2 + 491789 z^3 + 73050 z^4 - 2639 z^5) 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