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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=1/8, b>=a > For fixed z and a=1/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 31/8, -(9/2), -z] == (1/(7418880 (1 + z)^(17/2))) (4 Sqrt[1 + z] (1854720 + 15095360 z + 54136595 z^2 + 112499509 z^3 + 151397684 z^4 + 157205230 z^5 + 66773863 z^6 + 17868669 z^7 + 2148146 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (1854720 + 15674960 z + 58607565 z^2 + 127555884 z^3 + 180435414 z^4 + 753971348 z^5 + 301758717 z^6 + 75770968 z^7 + 8592584 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