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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=-31/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), -(31/8), 9/2, -z] == -((256 (Sqrt[z] (-400 - 9305 z - 136045 z^2 - 13052897 z^3 + 70373875 z^4 - 92210755 z^5 + 36034705 z^6 - 3640195 z^7 + 43129 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 (160 + 3692 z + 53725 z^2 + 1134770 z^3 - 18738005 z^4 + 46978360 z^5 - 33581821 z^6 + 6939850 z^7 - 291595 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (2608830081 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