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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=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, -(11/2), -z] == (1/(2838528 (1 + z)^(9/2))) (Sqrt[1 + z] (2838528 + 5693184 z + 1295840 z^2 - 876837 z^3 + 926614 z^4 - 1318317 z^5 + 3929640 z^6 + 9172592 z^7 + 3999424 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (709632 + 1645056 z + 674492 z^2 - 252083 z^3 + 193310 z^4 - 250107 z^5 + 8016008 z^6 + 11172304 z^7 + 3999424 z^8) Sinh[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