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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





http://functions.wolfram.com/07.23.03.cdp5.01









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, 1/2, z] == (1/(181815 (1 - z)^(21/2))) (Sqrt[1 - z] (181815 + 7974249 z + 35908150 z^2 + 33976002 z^3 + 6541091 z^4 + 91205 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (4647819 + 63823641 z + 159758638 z^2 + 97756786 z^3 + 12611959 z^4 + 91205 z^5) 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