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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=25/8





http://functions.wolfram.com/07.23.03.bd1j.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 25/8, 11/2, -z] == -((1024 (8 Sqrt[z] (79800 + 280725 z + 172425 z^2 - 153615 z^3 + 37565 z^4 + 2213930 z^5 + 4480210 z^6 + 3958640 z^7 + 1703680 z^8 + 292864 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (510720 + 1700880 z + 782211 z^2 - 1141140 z^3 + 4959570 z^4 + 30830140 z^5 + 52323715 z^6 + 42794528 z^7 + 17585920 z^8 + 2928640 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/(5784032111 z^(9/2) (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