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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, 9/2, -z] == -((256 (Sqrt[z] (-47600 + 108885 z - 384370 z^2 - 12869271 z^3 - 14548912 z^4 + 22762880 z^5 + 41474048 z^6 + 16400384 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (-27200 + 80920 z - 263585 z^2 + 2112250 z^3 + 41029443 z^4 + 102065824 z^5 + 92311296 z^6 + 28700672 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (4171852971 z^(7/2) (1 + z)^(7/8)))








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