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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=25/8, b>=a > For fixed z and a=25/8, b=31/8





http://functions.wolfram.com/07.23.03.c9m7.01









  


  








Input Form





Hypergeometric2F1[25/8, 31/8, -(7/2), z] == (1/(41216 (1 - z)^(21/2))) (Sqrt[1 - z] (41216 - 556048 z + 3871153 z^2 - 21050497 z^3 + 171362650 z^4 + 431309310 z^5 + 125049573 z^6 + 2217891 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (10304 - 142232 z + 1009861 z^2 - 5547393 z^3 + 1192803442 z^4 + 1406637222 z^5 + 251991897 z^6 + 2217891 z^7) Sin[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