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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=-39/8, b>=a > For fixed z and a=-39/8, b=-1/8





http://functions.wolfram.com/07.23.03.ba1a.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(1/8), 5/2, -z] == (1/(6875055 z^(3/2))) (16 ((-Sqrt[z]) (-713 - 444352 z + 143194 z^2 + 67748 z^3 + 28055 z^4 + 7348 z^5 + 880 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (1/Sqrt[1 + z]) ((-2852 - 60605 z + 60032 z^2 + 173986 z^3 + 80912 z^4 + 31619 z^5 + 7788 z^6 + 880 z^7) 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