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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=-13/8, b>=a > For fixed z and a=-13/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(13/2))) (Sqrt[1 + z] (135168 + 744192 z + 1612640 z^2 + 1643047 z^3 + 631005 z^4 - 101959 z^5 + 101959 z^6 + 128340 z^7 + 34224 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (101376 + 572928 z + 1281636 z^2 + 1364387 z^3 + 573965 z^4 - 64883 z^5 + 161851 z^6 + 145452 z^7 + 34224 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