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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=-2/3, b>=a > For fixed z and a=-2/3, b=17/3





http://functions.wolfram.com/07.23.03.7233.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 17/3, -(7/2), z] == (1/(435456 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((435456 - 3255552 z + 9847808 z^2 - 13325312 z^3 - 6031872 z^4 + 12384075 z^5 - 11521512 z^6 + 6128160 z^7 - 1796288 z^8 + 226304 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (145152 - 983040 z + 2601984 z^2 - 2680832 z^3 + 8421919 z^4 - 9060320 z^5 + 5314880 z^6 - 1683136 z^7 + 226304 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