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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=17/8, b>=a > For fixed z and a=17/8, b=47/8





http://functions.wolfram.com/07.23.03.c6t4.01









  


  










Input Form





Hypergeometric2F1[17/8, 47/8, 1/2, z] == -((1/(2139 (1 - z)^(15/2))) (Sqrt[1 - z] (-2139 - 29943 z - 15985 z^2 + 3723 z^3 - 800 z^4 + 88 z^5) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-8559 - 32898 z - 4438 z^2 + 1028 z^3 - 211 z^4 + 22 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