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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=-7/8, b>=a > For fixed z and a=-7/8, b=47/8





http://functions.wolfram.com/07.23.03.bu04.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 47/8, -(5/2), -z] == (1/(684480 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-684480 - 3405288 z - 4217395 z^2 + 10705695 z^3 + 33657199 z^4 + 42264013 z^5 + 28574040 z^6 + 10249360 z^7 + 1538240 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-171120 - 904797 z - 1297660 z^2 + 23678866 z^3 + 51797948 z^4 + 55366003 z^5 + 33506440 z^6 + 11018480 z^7 + 1538240 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