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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=-5/8, b>=a > For fixed z and a=-5/8, b=21/8





http://functions.wolfram.com/07.23.03.bus6.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 21/8, -(5/2), z] == (1/(832 (1 - z)^(9/2))) (4 Sqrt[1 - z] (208 - 754 z + 819 z^2 + 364 z^3 - 427 z^4 + 126 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (624 - 2353 z + 2730 z^2 + 2247 z^3 - 1960 z^4 + 504 z^5) 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