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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=2/3





http://functions.wolfram.com/07.23.03.4699.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 2/3, 7/2, z] == (1/(2984660315 z^(5/2))) (81 ((1/Sqrt[1 - z]) (Sqrt[z] (-313344 + 3237888 z + 17109995 z^2 - 41265459 z^3 + 37129536 z^4 - 23586136 z^5 + 9842400 z^6 - 2421120 z^7 + 266240 z^8) Cos[ArcSin[Sqrt[z]]/3]) + (940032 - 9435136 z + 56541184 z^2 - 29066247 z^3 + 28343568 z^4 - 19489656 z^5 + 8731680 z^6 - 2288000 z^7 + 266240 z^8) 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