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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9wv.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, -(7/2), -z] == (1/(1792 (1 + z)^(97/8))) ((1792 + 30672 z + 278255 z^2 + 2030418 z^3 + 22701393 z^4 - 108770948 z^5 + 72043777 z^6 - 6291630 z^7 - 213537 z^8 - 7632 z^9) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (112 + 1882 z + 16812 z^2 + 121797 z^3 - 17032015 z^4 + 27410292 z^5 - 7393418 z^6 + 13197 z^7 + 477 z^8) Sin[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