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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=4, b>=a > For fixed z and a=4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[4, 21/4, -(21/4), z] == (1/(663 (-1 + z)^15)) (-663 + 12597 z - 119145 z^2 + 769875 z^3 - 4067030 z^4 + 22106434 z^5 - 326511906 z^6 - 450100986 z^7 + 390243117 z^8 + 331613865 z^9 + 35994827 z^10 + 59015 z^11 - 17556 Sqrt[1 - z] z^(25/4) (11803 + 20757 z + 8177 z^2 + 663 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