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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd5u.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, 9/2, -z] == -((256 (Sqrt[z] (-4560 + 8835 z - 33117 z^2 - 91347 z^3 + 1375645 z^4 + 4877600 z^5 + 6388480 z^6 + 3780608 z^7 + 851968 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (-1824 + 3876 z - 13965 z^2 + 139650 z^3 + 1464315 z^4 + 3811736 z^5 + 4438336 z^6 + 2462720 z^7 + 532480 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (111088965 z^(7/2) (1 + z)^(5/8)))








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