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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=-27/8





http://functions.wolfram.com/07.23.03.bg7p.01









  


  










Input Form





Hypergeometric2F1[-(29/8), -(27/8), 11/2, z] == (1/(584513104175 z^(9/2))) (1024 (Sqrt[z] (16704 - 304152 z + 2969919 z^2 - 23713938 z^3 + 868006385 z^4 + 3041074764 z^5 + 2261405553 z^6 + 400483454 z^7 + 9952767 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-22272 + 424560 z - 4305543 z^2 + 34987833 z^3 - 423139203 z^4 - 1810251507 z^5 + 241607275 z^6 + 1578231307 z^7 + 372514783 z^8 + 9952767 z^9) 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