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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=43/8





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









  


  








Input Form





Hypergeometric2F1[31/8, 43/8, -(3/2), -z] == (1/(48 (1 + z)^(79/8))) ((48 + 1067 z + 27720 z^2 - 157542 z^3 + 115500 z^4 - 9933 z^5 - 172 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (84 + 1925 z - 90156 z^2 + 169686 z^3 - 47520 z^4 + 301 z^5) 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