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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=37/8





http://functions.wolfram.com/07.23.03.bp9b.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 37/8, -(23/4), z] == ((1 + Sqrt[1 - z])^(3/4) (2 (28995824 - 182799760 z + 451952501 z^2 - 506356994 z^3 + 154291774 z^4 + 120422848 z^5 - 584513835 z^6 + 550146522 z^7 - 226425984 z^8 + 36140544 z^9) + (1/Sqrt[1 - z]) (57991648 - 394595344 z + 1079455806 z^2 - 1422591027 z^3 + 722537088 z^4 + 169344630 z^5 + 1613086922 z^6 - 2793342203 z^7 + 1979584608 z^8 - 686122752 z^9 + 96374784 z^10)))/ (115983296 2^(3/4) (-1 + z)^8)








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