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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=17/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 17/8, 7/2, -z] == -((1/(483 z^(5/2) (1 + z)^(5/8))) (64 (Sqrt[z] (-20 - 15 z + 9 z^2 + 16 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] + (16 + 9 z - 15 z^2 - 20 z^3) 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