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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=-19/8, b>=a > For fixed z and a=-19/8, b=1/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 1/8, 11/2, -z] == -((1024 (Sqrt[z] (-320 - 2760 z - 10989 z^2 - 28380 z^3 - 145750 z^4 + 37260 z^5 + 4635 z^6 + 432 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + (256 + 2160 z + 8385 z^2 + 21120 z^3 + 56430 z^4 - 122540 z^5 - 5895 z^6 - 540 z^7) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (71881095 z^(9/2) (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