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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=-27/8, b>=a > For fixed z and a=-27/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), 25/8, 11/2, -z] == -((1024 (Sqrt[z] (18240 + 57000 z + 30723 z^2 - 23199 z^3 + 13673 z^4 + 245635 z^5 + 361760 z^6 + 210688 z^7 + 45056 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (14592 + 42864 z + 16473 z^2 - 21945 z^3 + 78375 z^4 + 393437 z^5 + 501844 z^6 + 273920 z^7 + 56320 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/(81465241 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