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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=-21/8, b>=a > For fixed z and a=-21/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 31/8, -(9/2), -z] == (1/(70656 (1 + z)^(43/8))) ((70656 + 200192 z + 105340 z^2 - 70541 z^3 + 75670 z^4 - 150673 z^5 - 597088 z^6 - 503040 z^7 - 135168 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (52992 + 142416 z + 60007 z^2 - 57730 z^3 + 65435 z^4 + 398340 z^5 + 362496 z^6 + 101376 z^7) Sin[(3 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