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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.cbgg.01









  


  








Input Form





Hypergeometric2F1[31/8, 35/8, -(7/2), -z] == (1/(256 (1 + z)^(87/8))) ((256 + 3632 z + 27929 z^2 + 185691 z^3 + 2272578 z^4 - 5141906 z^5 + 1575973 z^6 - 43129 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (224 + 3332 z + 26719 z^2 + 180708 z^3 - 2276054 z^4 + 1806416 z^5 - 196657 z^6) 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