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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm70.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(5/2), -z] == (1/(228160 (1 + z)^(43/8))) ((-(-228160 + 245272 z - 455607 z^2 + 2730790 z^3 + 34092197 z^4 + 86466720 z^5 + 96873216 z^6 + 51769344 z^7 + 10813440 z^8)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (171120 - 208909 z + 377890 z^2 + 19119231 z^3 + 56146224 z^4 + 67436160 z^5 + 37644288 z^6 + 8110080 z^7) Sin[(3 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