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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=-17/8, b>=a > For fixed z and a=-17/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(17/8), 43/8, -(3/2), -z] == (1/(2736 (1 + z)^(31/8))) ((2736 - 14421 z + 103455 z^2 + 215152 z^3 - 165760 z^4 - 473088 z^5 - 212992 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (4788 - 21945 z + 281471 z^2 + 1019424 z^3 + 1084160 z^4 + 372736 z^5) Sin[(7 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