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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=-47/8, b>=a > For fixed z and a=-47/8, b=-9/8





http://functions.wolfram.com/07.23.03.b4y5.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(9/8), 7/2, -z] == (64 (Sqrt[z] Sqrt[1 + z] (402132 + 8076151 z + 5903144675 z^2 - 11784926414 z^3 + 1126704810 z^4 + 219013771 z^5 + 46393823 z^6 + 7065212 z^7 + 535920 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1608528 + 33410467 z + 647365498 z^2 - 2585018167 z^3 - 2168047456 z^4 + 1230833109 z^5 + 241361026 z^6 + 49859439 z^7 + 7333172 z^8 + 535920 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/(367796650683 z^(5/2) Sqrt[1 + z])








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