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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=3, b>=a > For fixed z and a=3, b=21/4





http://functions.wolfram.com/07.23.03.am5i.01









  


  










Input Form





Hypergeometric2F1[3, 21/4, -(13/4), z] == (1/(39 (-1 + z)^12)) (39 - 657 z + 5892 z^2 - 43804 z^3 + 754410 z^4 + 973962 z^5 - 1117116 z^6 - 567756 z^7 - 5145 z^8 + 175 z^9 + 924 Sqrt[1 - z] z^(17/4) (525 + 850 z + 221 z^2) 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