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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc7w.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, 11/2, -z] == (1024 (2 Sqrt[z] (721056 - 742516 z + 1625595 z^2 - 6025968 z^3 + 191149631 z^4 + 1089101070 z^5 + 2242500480 z^6 + 2248435200 z^7 + 1115947008 z^8 + 220594176 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (1922816 - 1699632 z + 3981903 z^2 - 15340681 z^3 + 161654961 z^4 + 1285571961 z^5 + 2953996320 z^6 + 3146635008 z^7 + 1625665536 z^8 + 330891264 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (265374689195 z^(9/2) (1 + z)^(3/8))








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