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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=-11/8





http://functions.wolfram.com/07.23.03.bl85.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(11/8), 9/2, -z] == (1/(52180905 z^(7/2))) (256 (Sqrt[z] (240 + 2849 z + 18774 z^2 + 352558 z^3 - 556096 z^4 + 91977 z^5 + 1426 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) (2 (160 + 2036 z + 14133 z^2 + 109781 z^3 - 139214 z^4 - 191106 z^5 + 46345 z^6 + 713 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