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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=35/8, b>=a > For fixed z and a=35/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[35/8, 45/8, -(3/2), -z] == (1/(51504 (1 + z)^(23/2))) (Sqrt[1 + z] (51504 + 1426017 z + 42609903 z^2 - 510307812 z^3 + 916293662 z^4 - 377632183 z^5 + 26440179 z^6 + 201066 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (19314 + 537573 z + 60762016 z^2 - 401042133 z^3 + 568227258 z^4 - 205122469 z^5 + 13270356 z^6 + 100533 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