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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=41/8





http://functions.wolfram.com/07.23.03.bn32.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, 7/2, -z] == -((1/(3818115 z^(5/2) (1 + z)^(5/8))) (64 (2 Sqrt[z] (190 - 1615 z - 7112 z^2 + 103488 z^3 + 279552 z^4 + 172032 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - (304 - 2641 z + 36841 z^2 + 391776 z^3 + 779520 z^4 + 430080 z^5) Sin[(5 ArcTan[Sqrt[z]])/4])))








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