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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=-29/8, b>=a > For fixed z and a=-29/8, b=-9/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), -(9/8), 11/2, -z] == (1024 (Sqrt[z] (1344 + 17480 z + 114777 z^2 + 564993 z^3 + 15785770 z^4 - 18239286 z^5 + 1966365 z^6 + 105117 z^7 + 5328 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (1792 + 23568 z + 156375 z^2 + 774891 z^3 + 5186610 z^4 - 22240218 z^5 + 8713003 z^6 + 78255 z^7 + 3996 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/(12262024775 z^(9/2) (1 + z)^(3/8))








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