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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.bajo.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, 9/2, -z] == (1/(5435418483 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-32240 + 45539 z - 145483 z^2 + 22639529 z^3 + 102100031 z^4 + 185767560 z^5 + 171069008 z^6 + 79573824 z^7 + 14927616 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (-128960 + 93496 z - 446121 z^2 + 5209581 z^3 + 58460237 z^4 + 177990439 z^5 + 262288312 z^6 + 208989968 z^7 + 87037632 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