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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=23/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 23/8, -(3/2), -z] == (1/(16 (1 + z)^(11/8))) ((16 - 63 z + 420 z^2 + 3584 z^3 + 3072 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-12 + 49 z + 2352 z^2 + 2304 z^3) 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