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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=21/8





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









  


  










Input Form





Hypergeometric2F1[-(21/8), 21/8, 11/2, z] == (1/(5098555 z^(9/2))) (1024 (-2 Sqrt[z] (-672 + 2516 z - 2583 z^2 - 525 z^3 - 3473 z^4 + 6129 z^5 - 3744 z^6 + 816 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((1792 - 8240 z + 12559 z^2 - 4291 z^3 + 1295 z^4 - 12241 z^5 + 15798 z^6 - 8304 z^7 + 1632 z^8) 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