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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=-11/3, b>=a > For fixed z and a=-11/3, b=14/3





http://functions.wolfram.com/07.23.03.5910.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 14/3, -(7/2), -z] == (1/1215) ((1/(1 + z)^(9/2)) ((1215 - 405 z + 742 z^2 - 2282 z^3 + 19035 z^4 + 112736 z^5 + 185120 z^6 + 126464 z^7 + 31616 z^8) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^4) (Sqrt[z] (-405 + 420 z - 574 z^2 + 1212 z^3 + 57720 z^4 + 133744 z^5 + 110656 z^6 + 31616 z^7) Sinh[ArcSinh[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