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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=6





http://functions.wolfram.com/07.23.03.ail2.01









  


  










Input Form





Hypergeometric2F1[1/4, 6, -(5/4), z] == (1/(40960 (-1 + z)^8)) (4 (10240 - 94208 z + 600064 z^2 - 1141819 z^3 + 1174883 z^4 - 853750 z^5 + 400686 z^6 - 109263 z^7 + 13167 z^8) - 21 Sqrt[1 - z] z^(9/4) (-32045 + 36975 z - 30450 z^2 + 15950 z^3 - 4785 z^4 + 627 z^5) 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