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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=-3/8, b>=a > For fixed z and a=-3/8, b=41/8





http://functions.wolfram.com/07.23.03.bw3k.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, 11/2, -z] == -((1/(8666515 z^(9/2) (1 + z)^(5/8))) (1024 (2 Sqrt[z] (1120 - 940 z + 1189 z^2 - 2010 z^3 + 2688 z^4 + 10752 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - (1792 - 1840 z + 2239 z^2 - 3639 z^3 + 11760 z^4 + 26880 z^5) Sin[(5 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