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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 8 and fixed z and a>0 > For fixed z and a=17/8, b>=a > For fixed z and a=17/8, b=39/8





http://functions.wolfram.com/07.23.03.c6ma.01









  


  










Input Form





Hypergeometric2F1[17/8, 39/8, -(7/2), -z] == (1/(1277696 (1 + z)^(21/2))) (Sqrt[1 + z] (1277696 + 16598640 z + 109704319 z^2 + 553124723 z^3 + 4004220834 z^4 - 7728762714 z^5 + 894061155 z^6 + 63649287 z^7 + 3515148 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (319424 + 4249480 z + 28680425 z^2 + 146325425 z^3 + 25721480982 z^4 - 21969216246 z^5 + 925446405 z^6 + 65406861 z^7 + 3515148 z^8) Sinh[ArcSinh[Sqrt[z]]/4])










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