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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=-41/8, b>=a > For fixed z and a=-41/8, b=-21/8





http://functions.wolfram.com/07.23.03.b8rk.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(21/8), -(5/2), -z] == (1/(320 (1 + z)^(7/8))) ((320 + 1512 z + 2723 z^2 + 2513 z^3 - 3591 z^4 - 1645 z^5 - 336 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (560 + 3031 z + 6825 z^2 + 10313 z^3 + 3283 z^4 + 588 z^5) Sin[(7 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