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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=13/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 13/8, 9/2, -z] == (1/(805035 z^(7/2))) (256 (Sqrt[z] (-624 - 2821 z - 4095 z^2 + 4853 z^3 + 6259 z^4 + 3204 z^5 + 624 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-832 - 4472 z - 8645 z^2 - 2275 z^3 + 7621 z^4 + 7783 z^5 + 3516 z^6 + 624 z^7) 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