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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=-37/8, b>=a > For fixed z and a=-37/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 23/8, 7/2, -z] == (64 (2 Sqrt[z] (83694 - 153439 z + 3774336 z^2 + 19887957 z^3 + 38853368 z^4 + 37555776 z^5 + 18146304 z^6 + 3514368 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (223184 - 376623 z + 3305913 z^2 + 23729039 z^3 + 51402711 z^4 + 52652448 z^5 + 26450688 z^6 + 5271552 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (321208965 z^(5/2) (1 + z)^(3/8))








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