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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.cbgl.01









  


  








Input Form





Hypergeometric2F1[31/8, 35/8, -(5/2), -z] == (1/(64 (1 + z)^(79/8))) ((64 + 968 z + 9339 z^2 + 143220 z^3 - 423654 z^4 + 158620 z^5 - 5117 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (112 + 1771 z + 17556 z^2 - 332310 z^3 + 330836 z^4 - 43133 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