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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=-3/8, b>=a > For fixed z and a=-3/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 25/8, -(11/2), -z] == (1/(946176 (1 + z)^(61/8))) ((946176 + 6273792 z + 17413536 z^2 + 25661575 z^3 + 20290005 z^4 + 5635245 z^5 - 8855385 z^6 - 4275480 z^7 - 721600 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1182720 + 8064000 z + 23242884 z^2 + 36202823 z^3 + 31527669 z^4 + 12075525 z^5 + 5513475 z^6 + 902000 z^7) Sin[(5 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