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





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 39/8, -(7/2), -z] == (1/(1277696 (1 + z)^(13/2))) (Sqrt[1 + z] (1277696 + 4369264 z + 2697279 z^2 - 3216343 z^3 + 10613005 z^4 + 37695515 z^5 + 41793752 z^6 + 20823088 z^7 + 3999424 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (319424 + 1192136 z + 973245 z^2 - 713713 z^3 + 25381759 z^4 + 56239469 z^5 + 51705368 z^6 + 22822800 z^7 + 3999424 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