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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.bd1f.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 25/8, 9/2, -z] == -((256 (Sqrt[z] (22800 + 27645 z - 37905 z^2 - 16185 z^3 + 828565 z^4 + 2107280 z^5 + 2208640 z^6 + 1095680 z^7 + 212992 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (18240 + 18696 z - 33915 z^2 + 201495 z^3 + 1550895 z^4 + 3159925 z^5 + 3018848 z^6 + 1419520 z^7 + 266240 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (66653379 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