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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=14/3





http://functions.wolfram.com/07.23.03.4869.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, -(11/2), z] == (1/(216513 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((216513 + 54675 z + 71658 z^2 + 125902 z^3 + 292325 z^4 + 1017159 z^5 + 9174880 z^6 - 57624112 z^7 + 98436416 z^8 - 69239040 z^9 + 17704960 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (72171 + 69012 z + 77994 z^2 + 104852 z^3 + 181467 z^4 + 480480 z^5 - 28837744 z^6 + 70456256 z^7 - 60386560 z^8 + 17704960 z^9) 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