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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=29/8





http://functions.wolfram.com/07.23.03.b5gg.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 29/8, -(11/2), -z] == (1/(946176 (1 + z)^(25/8))) ((946176 - 736512 z + 912800 z^2 - 1414881 z^3 + 2783911 z^4 - 7901868 z^5 + 55351296 z^6 + 314029056 z^7 + 391446528 z^8 + 147062784 z^9) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-236544 + 258048 z - 328244 z^2 + 487513 z^3 - 892671 z^4 + 2320032 z^5 + 54531840 z^6 + 86372352 z^7 + 36765696 z^8) Sin[ArcTan[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