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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, -(5/2), -z] == (1/(3422400 (1 + z)^(27/2))) ((-Sqrt[1 + z]) (-3422400 - 85816680 z - 1383993605 z^2 - 33399308550 z^3 + 340085437301 z^4 - 599775418652 z^5 + 280304289909 z^6 - 30514562838 z^7 + 260175675 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-855600 - 21721545 z - 352589195 z^2 - 402328740421 z^3 + 1854887449201 z^4 - 2119353506411 z^5 + 701089343055 z^6 - 54562882887 z^7 + 260175675 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