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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=45/8





http://functions.wolfram.com/07.23.03.bm5i.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 45/8, -(1/2), z] == -((1/(4292 (1 - z)^(7/2))) (Sqrt[1 - z] (-4292 - 112665 z + 2204517 z^2 - 9092552 z^3 + 15191472 z^4 - 11342400 z^5 + 3155200 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-3219 - 671034 z + 5437509 z^2 - 15467688 z^3 + 20468272 z^4 - 12920000 z^5 + 3155200 z^6) Sin[(3 ArcSin[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