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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.blop.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) Cosh[(3 ArcSinh[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) Sinh[(3 ArcSinh[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