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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=19/8, b>=a > For fixed z and a=19/8, b=31/8





http://functions.wolfram.com/07.23.03.c7b7.01









  


  








Input Form





Hypergeometric2F1[19/8, 31/8, -(7/2), -z] == (1/(8960 (1 + z)^(75/8))) ((8960 + 105040 z + 621699 z^2 + 2796552 z^3 + 18310698 z^4 - 28369812 z^5 + 3163147 z^6 + 75764 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (6720 + 77800 z + 455153 z^2 + 2033532 z^3 - 32021810 z^4 + 13768868 z^5 - 56823 z^6) Sin[(3 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