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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=17/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 17/8, -(9/2), -z] == (1/(64512 (1 + z)^(29/8))) ((64512 + 111104 z + 3060 z^2 - 30039 z^3 + 32793 z^4 - 22032 z^5 - 30464 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (80640 + 154000 z + 30243 z^2 - 35649 z^3 + 34680 z^4 + 38080 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