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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=1/8, b>=a > For fixed z and a=1/8, b=31/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 31/8, -(7/2), -z] == (1/(206080 (1 + z)^(15/2))) (Sqrt[1 + z] (206080 + 1477520 z + 4602461 z^2 + 8245983 z^3 + 10621975 z^4 + 5406557 z^5 + 1688960 z^6 + 232232 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 4 Sqrt[z] (12880 + 96370 z + 314801 z^2 + 593998 z^3 + 3282162 z^4 + 1555502 z^5 + 451269 z^6 + 58058 z^7) 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