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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=-21/8, b>=a > For fixed z and a=-21/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 31/8, -(5/2), -z] == (1/(7360 (1 + z)^(27/8))) ((-(-7360 + 7176 z - 10419 z^2 + 37513 z^3 + 285024 z^4 + 361728 z^5 + 135168 z^6)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (5520 - 6187 z + 8901 z^2 + 179748 z^3 + 256512 z^4 + 101376 z^5) 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