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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 4 and fixed z > For fixed z and a=1/4, b>=a > For fixed z and a=1/4, b=4





http://functions.wolfram.com/07.23.03.aid4.01









  


  










Input Form





Hypergeometric2F1[1/4, 4, 3/4, z] == (1/(1536 (-1 + z)^4)) (4 (-1 + z) (-384 + 835 z - 742 z^2 + 231 z^3) + 3 Sqrt[1 - z] z^(1/4) (195 - 351 z + 273 z^2 - 77 z^3) Beta[z, 3/4, 1/2])










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