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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=27/8, b>=a > For fixed z and a=27/8, b=29/8





http://functions.wolfram.com/07.23.03.ca82.01









  


  








Input Form





Hypergeometric2F1[27/8, 29/8, -(11/2), -z] == (1/(45056 (1 + z)^(25/2))) ((-Sqrt[1 + z]) (-45056 - 653568 z - 4578336 z^2 - 21068109 z^3 - 75012006 z^4 - 249302619 z^5 - 1357530772 z^6 + 2912493261 z^7 - 815111366 z^8 + 26172091 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-33792 - 495104 z - 3502156 z^2 - 16259357 z^3 - 58280546 z^4 - 193941403 z^5 - 2334225016 z^6 + 3488471261 z^7 - 859902458 z^8 + 26172091 z^9) 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