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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=29/8, b>=a > For fixed z and a=29/8, b=41/8





http://functions.wolfram.com/07.23.03.cb37.01









  


  








Input Form





Hypergeometric2F1[29/8, 41/8, -(7/2), -z] == (1/(8960 (1 + z)^(93/8))) ((8960 + 144720 z + 1262739 z^2 + 9259679 z^3 + 115155810 z^4 - 377803250 z^5 + 180409095 z^6 - 10649709 z^7 - 152684 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (11200 + 183000 z + 1612395 z^2 + 11871475 z^3 - 278758898 z^4 + 324899262 z^5 - 61452585 z^6 + 190855 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