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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 47/8, -(5/2), -z] == (1/(320 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-320 + 2696 z - 22429 z^2 + 403655 z^3 + 5963948 z^4 + 21338064 z^5 + 32656896 z^6 + 22982400 z^7 + 6128640 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-80 + 649 z - 5386 z^2 + 2029257 z^3 + 13747868 z^4 + 35176752 z^5 + 43382016 z^6 + 26046720 z^7 + 6128640 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