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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.bloo.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 21/8, -(11/2), z] == -((1/(135168 (1 - z)^(11/2))) (Sqrt[1 - z] (-135168 + 544512 z - 747360 z^2 + 319907 z^3 + 49220 z^4 + 32591 z^5 + 52026 z^6 - 104880 z^7 + 37536 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-50688 + 211584 z - 305418 z^2 + 145521 z^3 + 15755 z^4 + 8671 z^5 + 49887 z^6 - 61824 z^7 + 18768 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