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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=-15/8, b>=a > For fixed z and a=-15/8, b=31/8





http://functions.wolfram.com/07.23.03.bp5y.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 31/8, -(7/2), z] == -((1/(41216 (1 - z)^(11/2))) (Sqrt[1 - z] (-41216 + 121808 z - 60697 z^2 - 65780 z^3 - 183885 z^4 + 476762 z^5 - 350064 z^6 + 86944 z^7) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-5152 + 16836 z - 11661 z^2 - 7475 z^3 - 191971 z^4 + 320463 z^5 - 196768 z^6 + 43472 z^7) Sin[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