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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=47/8





http://functions.wolfram.com/07.23.03.bm6v.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(7/2), -z] == (1/(182528 (1 + z)^(51/8))) ((-(-182528 - 308016 z + 267375 z^2 - 371473 z^3 + 1409601 z^4 + 13155249 z^5 + 27008928 z^6 + 25470720 z^7 + 11759616 z^8 + 2162688 z^9)) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (68448 + 105524 z - 113367 z^2 + 158286 z^3 + 3866865 z^4 + 8953416 z^5 + 8952768 z^6 + 4291584 z^7 + 811008 z^8) 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