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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=-9/8, b>=a > For fixed z and a=-9/8, b=-5/8





http://functions.wolfram.com/07.23.03.bs75.01









  


  








Input Form





Hypergeometric2F1[-(9/8), -(5/8), 11/2, -z] == (1024 (Sqrt[z] (3136 + 25928 z + 99351 z^2 + 251076 z^3 + 1221538 z^4 - 894804 z^5 + 38335 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] - (1792 + 13584 z + 46663 z^2 + 105060 z^3 + 303282 z^4 - 1460284 z^5 + 286783 z^6) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (534734915 z^(9/2) (1 + z)^(7/8))








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