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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=8/3





http://functions.wolfram.com/07.23.03.4785.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 8/3, -(1/2), z] == (1/75) ((1/Sqrt[1 - z]) ((75 + 2225 z - 35916 z^2 + 138576 z^3 - 223744 z^4 + 163840 z^5 - 45056 z^6) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (-25 + 11652 z - 74064 z^2 + 158720 z^3 - 141312 z^4 + 45056 z^5) Sin[ArcSin[Sqrt[z]]/3])








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