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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=31/8





http://functions.wolfram.com/07.23.03.b5iv.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 31/8, 5/2, -z] == (1/(258127065 z^(3/2) Sqrt[1 + z])) (16 (Sqrt[z] Sqrt[1 + z] (-18941 + 16799428 z + 161585951 z^2 + 575619630 z^3 + 1020018800 z^4 + 970508448 z^5 + 476326656 z^6 + 94993920 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 2 (-37882 + 1306929 z + 31278539 z^2 + 183270587 z^3 + 495187595 z^4 + 725834656 z^5 + 598398768 z^6 + 261911808 z^7 + 47496960 z^8) Sinh[ArcSinh[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