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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=-19/8





http://functions.wolfram.com/07.23.03.b4ub.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(19/8), 11/2, -z] == -((1024 (2 Sqrt[z] (-224 - 4516 z - 49313 z^2 - 445742 z^3 - 103040223 z^4 + 285221612 z^5 - 164451247 z^6 + 14203266 z^7 + 657679 z^8 + 43076 z^9 + 1760 z^10) Cos[ArcTan[Sqrt[z]]/4] + (1792 + 36688 z + 405647 z^2 + 3686331 z^3 + 52482199 z^4 - 425903621 z^5 + 523549221 z^6 - 133480951 z^7 - 322267 z^8 - 21263 z^9 - 880 z^10) Sin[ArcTan[Sqrt[z]]/4]))/ (197868304425 z^(9/2) (1 + z)^(1/8)))








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