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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=-33/8, b>=a > For fixed z and a=-33/8, b=27/8





http://functions.wolfram.com/07.23.03.bec1.01









  


  








Input Form





Hypergeometric2F1[-(33/8), 27/8, 7/2, -z] == -((64 (2 Sqrt[z] (3570 - 13685 z - 623112 z^2 - 1256937 z^3 + 409864 z^4 + 2964416 z^5 + 2644992 z^6 + 745472 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (4080 - 18445 z + 176715 z^2 + 4053357 z^3 + 13265189 z^4 + 17861088 z^5 + 11051264 z^6 + 2609152 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/(98326501 z^(5/2) (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