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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=-13/8





http://functions.wolfram.com/07.23.03.bis1.01









  


  








Input Form





Hypergeometric2F1[-(25/8), -(13/8), 9/2, -z] == -((256 (Sqrt[z] (-560 - 7623 z - 59059 z^2 - 1470282 z^3 + 3774826 z^4 - 1594955 z^5 + 73513 z^6 + 1804 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + (320 + 4136 z + 30767 z^2 + 301895 z^3 - 3037386 z^4 + 3046582 z^5 - 504021 z^6 - 3157 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (230831271 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