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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, -(11/2), -z] == (1/(946176 (1 + z)^(9/2))) ((-Sqrt[1 + z]) (-946176 - 564480 z + 493920 z^2 - 581921 z^3 + 848958 z^4 - 1745689 z^5 + 8920120 z^6 + 42485520 z^7 + 45384768 z^8 + 14927616 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-236544 - 215040 z + 110796 z^2 - 106457 z^3 + 151778 z^4 - 342881 z^5 + 25422760 z^6 + 63311952 z^7 + 52848576 z^8 + 14927616 z^9) 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