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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=-19/8





http://functions.wolfram.com/07.23.03.bl4q.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(19/8), 7/2, z] == (1/(7454415 z^(5/2))) (64 (Sqrt[z] (228 - 3781 z + 176908 z^2 + 542610 z^3 + 253528 z^4 + 13547 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-304 + 5301 z - 84873 z^2 - 334510 z^3 + 180222 z^4 + 220617 z^5 + 13547 z^6) Sin[(3 ArcSin[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