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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=39/8





http://functions.wolfram.com/07.23.03.bao5.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, -(9/2), -z] == (1/(21504 (1 + z)^(9/2))) (-2 Sqrt[1 + z] (-10752 + 13440 z - 21510 z^2 + 44803 z^3 - 140844 z^4 + 1162667 z^5 + 8945200 z^6 + 16703280 z^7 + 12519936 z^8 + 3370752 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-5376 + 5040 z - 7941 z^2 + 17732 z^3 - 61193 z^4 + 8396366 z^5 + 31885040 z^6 + 45083808 z^7 + 28410624 z^8 + 6741504 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