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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=3/8, b>=a > For fixed z and a=3/8, b=13/8





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









  


  








Input Form





Hypergeometric2F1[3/8, 13/8, -(9/2), z] == (1/(15360 (1 - z)^(13/2))) (2 Sqrt[1 - z] (7680 - 49280 z + 134610 z^2 - 203861 z^3 + 189929 z^4 - 139035 z^5 + 9269 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (11520 - 75600 z + 211645 z^2 - 329249 z^3 + 315317 z^4 - 287339 z^5 + 18538 z^6) Sin[(3 ArcSin[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