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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=-19/4, b>=a > For fixed z and a=-19/4, b=6





http://functions.wolfram.com/07.23.03.a9xd.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 6, -(13/4), z] == (1/(2555904 (-1 + z)^5)) (4 (-1 + z) (638976 + 3047424 z + 14106624 z^2 + 92078080 z^3 + 2427502592 z^4 - 18908871573 z^5 + 48600254052 z^6 - 58450130046 z^7 + 33909712452 z^8 - 7688830149 z^9) + 4389 Sqrt[1 - z] z^(17/4) (-1239315 + 6786725 z - 14659326 z^2 + 15670314 z^3 - 8310015 z^4 + 1751841 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