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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=45/8





http://functions.wolfram.com/07.23.03.b5rx.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 45/8, 9/2, -z] == (256 (Sqrt[z] (-536176 + 4389941 z - 38269562 z^2 + 38734725657 z^3 + 294582058408 z^4 + 895014480448 z^5 + 1409768988672 z^6 + 1223219216384 z^7 + 556975783936 z^8 + 104316534784 z^9) Cos[ArcTan[Sqrt[z]]/4] - (-2144704 + 16889544 z - 147414889 z^2 + 3009220778 z^3 + 40195054427 z^4 + 153716475792 z^5 + 278657851648 z^6 + 266977165312 z^7 + 131094216704 z^8 + 26079133696 z^9) Sin[ArcTan[Sqrt[z]]/4]))/ (9720340053765 z^(7/2) (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