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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=21/4, b>=a > For fixed z and a=21/4, b=6





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









  


  








Input Form





Hypergeometric2F1[21/4, 6, -(21/4), z] == (1/(3536 (-1 + z)^17)) (4 (-1 + z) (884 - 19448 z + 218244 z^2 - 1730720 z^3 + 11793320 z^4 - 89556432 z^5 + 2139400424 z^6 + 8757863521 z^7 + 8397246480 z^8 + 2393964430 z^9 + 170174048 z^10 + 969969 z^11) - 4389 Sqrt[1 - z] z^(25/4) (1451769 + 4255185 z + 3352570 z^2 + 815490 z^3 + 49725 z^4 + 221 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