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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=25/8





http://functions.wolfram.com/07.23.03.bvt9.01









  


  










Input Form





Hypergeometric2F1[-(3/8), 25/8, 17/4, z] == (8 2^(1/4) (180 (-1 + Sqrt[1 - z]) - 5 (-23 + 5 Sqrt[1 - z]) z + (41 - 31 Sqrt[1 - z]) z^2 + 8 (43 + 10 Sqrt[1 - z]) z^3 - 320 z^4))/ (3451 (1 + Sqrt[1 - z])^(1/4) Sqrt[1 - z] z^3)










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