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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





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









  


  










Input Form





Hypergeometric2F1[-(35/8), 41/8, 9/2, -z] == -((256 (Sqrt[z] (-22800 + 115995 z - 698250 z^2 - 4375041 z^3 + 43575620 z^4 + 206832640 z^5 + 327541760 z^6 + 225771520 z^7 + 57933824 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (-18240 + 96216 z - 576555 z^2 + 8063790 z^3 + 106541985 z^4 + 337108640 z^5 + 462681856 z^6 + 295792640 z^7 + 72417280 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/(3665935845 z^(7/2) (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