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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=19/8, b>=a > For fixed z and a=19/8, b=45/8





http://functions.wolfram.com/07.23.03.c7m1.01









  


  








Input Form





Hypergeometric2F1[19/8, 45/8, -(5/2), z] == (1/(68672 (1 - z)^(21/2))) (4 Sqrt[1 - z] (17168 - 268250 z + 2446440 z^2 - 28879795 z^3 - 118954634 z^4 - 46826988 z^5 + 2150408 z^6 - 210335 z^7 + 12834 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (51504 - 812261 z + 7451985 z^2 - 238678962 z^3 - 600775814 z^4 - 191506809 z^5 + 9015885 z^6 - 867008 z^7 + 51336 z^8) Sin[(3 ArcSin[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