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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=-43/8, b>=a > For fixed z and a=-43/8, b=17/8





http://functions.wolfram.com/07.23.03.b7x4.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 17/8, 21/4, z] == (16 2^(1/4) (1274520 - 7941240 z + 16826115 z^2 - 3500028 z^3 + 26938506 z^4 - 47040836 z^5 + 43716979 z^6 - 23652576 z^7 + 7063296 z^8 - 905216 z^9 + (1/Sqrt[1 - z]) (4 (-318630 + 2144625 z - 5159355 z^2 + 2750022 z^3 + 19422228 z^4 - 56471603 z^5 + 75413309 z^6 - 59434516 z^7 + 28434336 z^8 - 7685632 z^9 + 905216 z^10))))/ (1675531347 (1 + Sqrt[1 - z])^(1/4) 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