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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=-4/3





http://functions.wolfram.com/07.23.03.4656.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(4/3), 11/2, -z] == (6561 (Sqrt[z] (-2654208 - 45907968 z - 413990912 z^2 - 2906849280 z^3 + 116353637477 z^4 - 1257424327 z^5 - 116387108172 z^6 + 4268223712 z^7 + 565189120 z^8 + 60446208 z^9 + 3415040 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (7962624 + 135364608 z + 1202913280 z^2 + 8381333504 z^3 + 84885143552 z^4 - 425795160439 z^5 + 233797090492 z^6 + 4007229280 z^7 + 536246656 z^8 + 58738688 z^9 + 3415040 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/(954146869000325 z^(9/2) Sqrt[1 + z])










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