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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=-39/8, b>=a > For fixed z and a=-39/8, b=15/8





http://functions.wolfram.com/07.23.03.ba9r.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 15/8, 9/2, -z] == (1/(5435418483 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + 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) Cosh[ArcSinh[Sqrt[z]]/4] - (-684480 - 4089768 z - 7622683 z^2 + 6488300 z^3 + 44362894 z^4 + 75921212 z^5 + 70838053 z^6 + 38823400 z^7 + 11787600 z^8 + 1538240 z^9) 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