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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=-21/8





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









  


  








Input Form





Hypergeometric2F1[-(33/8), -(21/8), 9/2, -z] == (256 (Sqrt[z] (1680 + 31437 z + 356174 z^2 + 17172727 z^3 - 75267192 z^4 + 71100939 z^5 - 16488682 z^6 + 500241 z^7 + 8036 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (960 + 17304 z + 191219 z^2 + 3006822 z^3 - 45164119 z^4 + 86738652 z^5 - 41337387 z^6 + 4137286 z^7 + 14063 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(2986816749 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