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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=-11/8





http://functions.wolfram.com/07.23.03.b4x8.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(11/8), 11/2, -z] == (1024 (Sqrt[z] (448 + 7704 z + 69659 z^2 + 499558 z^3 + 72099937 z^4 - 118993940 z^5 + 21992813 z^6 + 2082854 z^7 + 288119 z^8 + 31376 z^9 + 1792 z^10) Cos[ArcTan[Sqrt[z]]/4] - (1792 + 31376 z + 288119 z^2 + 2082854 z^3 + 21992813 z^4 - 118993940 z^5 + 72099937 z^6 + 499558 z^7 + 69659 z^8 + 7704 z^9 + 448 z^10) Sin[ArcTan[Sqrt[z]]/4]))/(68354505165 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