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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=39/8





http://functions.wolfram.com/07.23.03.bm1x.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, 5/2, -z] == (1/(909075 z^(3/2) (1 + z)^(3/8))) (16 (Sqrt[z] (-741 + 77488 z + 577152 z^2 + 1124352 z^3 + 638976 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - (-988 + 27417 z + 336096 z^2 + 773376 z^3 + 479232 z^4) 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