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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=-7/3





http://functions.wolfram.com/07.23.03.4609.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(7/3), -(11/2), z] == (1/1082565) (-((1/Sqrt[1 - z]) ((-1082565 + 3203955 z - 3120390 z^2 + 969880 z^3 + 19776 z^4 + 5760 z^5 + 3584 z^6) Cos[ArcSin[Sqrt[z]]/3])) - Sqrt[z] (-360855 + 814050 z - 495000 z^2 + 24000 z^3 + 7552 z^4 + 3584 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