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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  










Input Form





Hypergeometric2F1[-(25/8), 35/8, -(21/4), z] == (142272 - 509808 z + 492024 z^2 + 36081 z^3 + 4161 z^4 - 44517 z^5 - 596277 z^6 + 1099936 z^7 - 706816 z^8 + 159744 z^9 + (1/Sqrt[1 - z]) (142272 - 580944 z + 729144 z^2 - 155097 z^3 - 49077 z^4 - 65835 z^5 - 584991 z^6 + 2020016 z^7 - 2264448 z^8 + 1124352 z^9 - 212992 z^10))/(142272 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^6)










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