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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=-1/3





http://functions.wolfram.com/07.23.03.4678.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(1/3), 9/2, -z] == -((243 (Sqrt[z] (110592 + 1593344 z + 12521472 z^2 - 334889731 z^3 - 294658001 z^4 + 68286402 z^5 + 21760576 z^6 + 5617520 z^7 + 949440 z^8 + 76544 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-331776 - 4681728 z - 36220928 z^2 - 316968960 z^3 + 940585217 z^4 + 59236914 z^5 + 19283936 z^6 + 5171504 z^7 + 911168 z^8 + 76544 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (107874151385 z^(7/2) 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