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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=31/8, b>=a > For fixed z and a=31/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[31/8, 35/8, -(9/2), -z] == (1/(9216 (1 + z)^(95/8))) ((9216 + 130048 z + 929612 z^2 + 4842629 z^3 + 24943809 z^4 + 259236978 z^5 - 470979698 z^6 + 121813753 z^7 - 2889643 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 + 238672 z + 1790215 z^2 + 9695279 z^3 + 50242566 z^4 - 460929394 z^5 + 302738563 z^6 - 28227197 z^7) Sin[(7 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