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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=4/3, b>=a > For fixed z and a=4/3, b=8/3





http://functions.wolfram.com/07.23.03.7911.01









  


  










Input Form





Hypergeometric2F1[4/3, 8/3, -(11/2), -z] == (1/(3464208 (1 + z)^(19/2))) ((3464208 + 35341920 z + 165161808 z^2 + 471937088 z^3 + 941043232 z^4 + 1488883520 z^5 + 2863408160 z^6 - 1909112111 z^7 - 10227778 z^8) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (1154736 + 10968048 z + 47424384 z^2 + 124739008 z^3 + 229161376 z^4 + 343076640 z^5 - 1080662093 z^6 + 10227778 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